# Worksheets For Class 10 Mathematics Probability

Probability Worksheets Class 10 Maths have been designed as per the latest pattern for CBSE, NCERT and KVS for Grade 10. Students are always suggested to solve printable worksheets for Mathematics Probability Grade 10 as they can be really helpful to clear their concepts and improve problem solving skills. We at worksheetsbag.com have provided here free PDF worksheets for students in standard 10 so that you can easily take print of these test sheets and use them daily for practice. All worksheets are easy to download and have been designed by teachers of Class 10 for benefit of students and is available for free download.

## Mathematics Probability Worksheets for Class 10

We have provided chapter-wise worksheets for class 10 Mathematics Probability which the students can download in Pdf format for free. This is the best collection of Mathematics Probability standard 10th worksheets with important questions and answers for each grade 10th Mathematics Probability chapter so that the students are able to properly practice and gain more marks in Class 10 Mathematics Probability class tests and exams.

Question. Probability that a non leap year should have 53 Mondays, will be
(A) 2/7
(B) 3/7
(C) 1/7
(D) 5/7

C

Question. A bag contains 10 red balls and some white balls. If the probability of drawing a white ball is double that of a red ball, then number of white balls in the bag will be
(A) 10
(B) 15
(C) 20
(D) 25

C

QuestionBox A contains 30% first grade articles. Box B contains 40% first grade articles. One article is drawn from each box. Then the probability that both articles drawn are first grade is
(A) 1/25
(B) 3/25
(C) 7/25
(D) 9/25

B

Question. A bag contains 2 red, 3 green and 2 blue balls. Two balls are drawn at random. What is the probability that none of the balls drawn is blue?
(A) 10/21
(B) 11/21
(C) 2/7
(D) 5/7

A

Question. In a box, there are 8 red, 7 blue and 6 green balls. One ball is picked up randomly. What is the probability that it is neither red nor green?
(A) 1/3
(B) 3/4
(C) 7/19
(D) 8/21

A

Question. A box contains 90 discs which are numbered from 1 to 90. If one disc is drawn at random from the box, then the probability that it bears a two-digit number is :
(A) 9/10
(B) 7/10
(C) 3/5
(D) 2/5.

A

Question. A game consists of tossing a one rupee coin 3 times and noting its outcome each time. Hanif wins if all the tosses give the same result i.e., three heads or three tails, and loses otherwise. Calculate the probability that Hanif will lose the game.
(A) 1/4
(B) 1
(C) 3/4
(D) 0.

C

Question. Three unbiased coins are tossed together. Then the probability of getting at least one head and one tail is
(A) 1/4
(B) 1
(C) 3/4
(D) 0.

C

Question. A die is thrown twice. Then the probability that 5 will come up at least once is
(A) 11/36
(B) 7/36
(C) 5/36
(D) 0.

B

Question. Ina single throw of two dice,the probability of getting a doublet of odd numbers is
(A) 11/12
(B) 1/12
(C) 5/12
(D) 5/6.

C

Question. In a single throw of three dice, the probability of getting a total of 17 or 18 is
(A) 53/54
(B) 51/54
(C) 1/54
(D) 0.

B

Question. Three fair dice are rolled, then the probability that the same number will appear on each of them is
(A) 1/6
(B) 1/18
(C) 1/36
(D) 3/28

C

Question. Mallica and Deepica are friends. Then the probability that both have same birthday is (ignoring a leap year)
(A) 364/365
(B) 1/365
(C) 363/365
(D) 2/365

A

Question. A letter is chosen at random from the word “probability”. The probability that it is a vowel is
(A) 1/11
(B) 2/11
(C) 3/11
(D) 4/11

D

Question. Mallica and Deepica are friends. Then the probability that both have different birthdays is
(A) 364/365
(B) 1/365
(C) 363/365
(D) 2/365

B

Question. Each outcome of a sample space related to any random experiment is known as
(A) compound event
(B) elementary event
(C) sure event
(D) impossible event

B

Question. A card is drawn at random from a pack of 52 playing cards. Then the probability that the card is neither an ace nor a king is
(A) 10/13
(B) 11/13
(C) 7/13
(D) 9/13.

C

PRACTICE EXERCISE

Question. A die is thrown once. What is the probability of getting :
(i) an even number (ii) an odd number (iii) a number ≥ 3
(iv) a number 5 or 6 (v) a number > 6
Solution. (i) 1/2 (ii) 1/2 (iii) 2/3 (iv) 1/3 (v) 0

Question. Find the probability that a number selected at a random from the numbers 1, 2, 3, …., 35 is a
(i) prime number (ii) multiple of 7
(iii) a multiple of 3 or 5
Solution. (i) 11/35 (ii) 1/7 (iii) 16/35

Question. What is the probability that an ordinary year has 53 mondays?
Solution. 1/7

Question. Two black kings and two black jacks are removed from a pack of 52 cards. Find the probability of getting:
(i) a card of hearts (ii) a card of clubs
(iii) a king (iv) a black card
(v) either a red card or a king (vi) a red king
(vii) neither an ace nor a king (viii) a jack, queen or a king
Solution. (i) 13/48 (ii) 11/48 (iii) 1/24 (iv) 11/24 (v) 13/24 (vi) 1/24 (vii) 7/8 (viii) 1/6

Question. The probability that it will rain tomorrow is 0.86. What is the probability that it will not rain tomorrow?
Solution. 0.14

Question. A bag contains 5 red, 8 white and 7 black balls. A ball is drawn at random from the bag. Find the probability that the ball drawn is ;
(i) red or white (ii) not black (iii) neither white nor black
Solution. (i) 13/20 (ii) 13/20 (iii) 1/4

Question. 17 cards numbered 1, 2, 3, …., 17 are put in a box and mixed thoroughly. One person draws a card from the box. Find the probability that the number on the card is :
(i) odd (ii) a prime (iii) divisible by 3
(iv) divisible by 2 and 3 both
Solution. (i) 9/17 (ii) 7/17 (iii) 5/17 (iv) 2/17

Question. A die is thrown once. Find the probability of gething :
(i) a multiple of 3 (ii) a multiple of 2 or 3 (iii) a prime number
Solution. (i) 1/3 (ii) 2/3 (iii) 1/2

Question. A bag contains 4 red balls, 5 black balls and 3 green balls. A ball is drawn at random from a bag. Find the probability that the ball drawn is :
(i) a red ball (ii) a black ball
(iii) not a green ball (iv) a black or a green ball
Solution. (i) 1/3 (ii) 5/12 (iii) 3/4 (iv) 2/3

Question. A card is drawn at random from a pack of 52 cards. Find the probability that the card drawn is :
(i) a jack, queen or a king (ii) a face card
(iii) a black king (iv) black and a king
(v) neither a heart nor a king (vi) spade or an ace
(vii) a queen of diamond (viii) either a black card or a king
(ix) an ace of heart (x) neither an ace nor a king
(xi) ‘10’ of black suit (xii) a club
(xiii) neither a red card nor a queen (xiv) a ‘8’ of heart
(xv) an ace of red colour
Solution. (i) 3/13 (ii) 3/13 (iii) 1/26 (iv) 1/26 (v) 9/13 (vi) 4/13 (vii) 1/52 (viii) 7/13 (ix) 1/52 (x) 11/13 (xi) 1/26 (xii) 1/4 (xiii) 6/13 (xiv) 1/52 (xv) 1/26

Question. A bag contains 5 red balls and some black balls. If the probability of drawing a black ball is double that of a red ball, find the number of black balls in the bag.
Solution. 10

Question. Two coins are tossed simultaneously. Find the probability of getting :
(i) two heads (ii) exactly one tail (iii) no tail
Solution. (i) 1/4 (ii) 1/2 (iii) 1/4 (iv) 3/4 (v) 3/4

Question. A bag contains 3 red, 5 black and 7 white balls. A ball is drawn from the bag at random. Find the probability that the ball drawn is :
(i) white (ii) red (iii) not black
(iv) red or white
Solution. (i) 7/15 (ii) 1/5 (iii) 2/3 (iv) 2/3

Question. A piggy bank contains hundred 50 p coins, fifty Re 1 coins, twenty Rs. 2 coins and ten Rs. 5 coins. If it is equally likely that one of the coins will fall out when the bank is turned upside down, what is the probability that the coin :
(i) will be a 50 p coin? (ii) will not be a Rs. 5 coin?
Solution. (i) 5/9 (ii) 17/18

Question. An integer is chosen from 1 to 15. Find the probability that the integer chosen is divisible by 4.
Solution. 1/5

Question. A pair of dice is thrown once. Find the probability of getting the sum of numbers on two dice as 11.
Solution. 1/18

Question. A bag contains 8 red, 6 white and 4 black balls. A ball is drawn at random from the bag. Find the probability that the drawn ball is :
(i) red or white (ii) neither white nor black.
Solution. (i) 7/9 (ii) 4/9

Question. Cards marked with numbers 3 to 152 are thoroughly mixed. If one card is drawn at random; find the probability that the number on the card is :
(i) an odd number (ii) a number less than 25
(iii) a number greater than 140 (iv) a number which is a perfect square
(v) a prime number between 10 and 40.
Solution. (i) 1/2 (ii) 11/75 (iii) 2/25 (iv) 11/150 (v) 4/75

Question. A die, in the shape of a tetrahedron, has four faces on which numerals 3, 4, 5, 8 are written. The die is rolled. Find the probability of getting an even number.
Solution. 3/4

Question. A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is :
(i) a card of spade or an ace (ii) a red king
(iii) neither a king nor a queen (iv) either a king or a queen
(v) a face card
Solution. (i) 4/13 (ii) 1/26 (iii) 11/13 (iv) 2/13 (v) 3/13

Question. A box contains 100 bulbs out of which 10 are defective. What is the probability that if a bulb is drawn, it is
(i) defective (ii) non-defective.
Solution. (i) 0.1 (ii) 0.9

Question. A bag contains 5 red balls and some black balls. If the probability of drawing a black ball is double that of a red ball, find the number of black balls in a bag.
Solution. 10

Question. From a well shuffled pack of 52 cards, two black kings and two black jacks are removed. From the remaining cards, a card is drawn at random. Find the probability that drawn card is neither an ace nor a king.
Solution. 7/8

Question. Three unbiased coins are tossed simultaneously. Find the probability of getting :
(iv) at least two heads (v) at least one head and one tail
Solution. (i) 3/8 (ii) 3/8 (iii) 1/8 (iv) 1/2 (v) 3/4

Question. Out of 400 bulbs in a box, 15 bulbs are defective. One bulb is taken out at random from the box. Find the probability that the drawn bulb is not defective.
Solution. 77/80

Question. A card is drawn from a well shuffled pack of 52 cards. Find the probability that the card is neither a red card nor a queen.
Solution. 6/13

Question. A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue balls. One ball is drawn at random from the bag. What is the probability that the ball drawn is :
(i) white or blue (ii) red or black (iii) not white
(iv) neither white nor black
Solution. (i) 1/2 (ii) 13/20 (iii) 2/5 (iv) 9/10

Question. Cards bearing numbers 3,5,7…35 are kept in a bag. A card is drawn at random from the bag. Find the probability of getting a card bearing (a) a prime number less than 15(b) a number divisible by 3 and 5.

Solution. A.5/17 B.1/17

Question. A card is drawn from a well shuffled deck of 52cards. Find the probability of getting an ace.
Solution. 1/13

Question. A card is drawn at random from a well-shuffled deck of playing cards. Find the probability of drawing (a) A face card(b)card which is neither a king nor a red card
Solution. A. 3/13 B. 6/13

Question. A child game has 8 triangles of which three are blue and rest are red and ten squares of which six are blue and rest are red. One piece is drawn at random. Find the probability of that is (a) A square (b) A triangle of red colour.
Solution. A. 5/9 B. 5/18

Question. A game consists of tossing a one-rupee coin 3 times and noting its outcome each time. Hanif wins if all the tosses ,give the same result,i.e.,3 heads or three tails and loses otherwise. Calculate the probability that Hanif will lose the game.
Solution. 3/4

Question. Cards bearing numbers 1,3,5…37 are kept in a bag. A card is drawn at random from the bag. Find the Probability of getting a card bearing
(a) A prime number less than15
(b) A number divisible by 3 and 5.
Solution. A.5/19 B.1/19

Question. A dice has its six faces marked 0,1,1,1,6,6. Two such dice are thrown together and total score is recorded.(a) how many different scores are possible? (b) What is the probability of getting a total of seven?
Solution. A. 6 scores B. 1/3

Question. Two dice are thrown simultaneously. Find the probability of getting an even number as the sum.
Solution. 1/2

Question. A die is thrown once. Find the probability of getting.
a) Prime number
b) A number divisible by 2.
Solution. 1/2 , 1/2

Question. All the red face cards are removed from a pack of 52 playing cards. A card is drawn at random from the remaining cards after reshuffling them. Find the probability that the card drawn is
(i) Of red colour ii) a queen iii) an ace iv) a face card.
Solution. 10/23, 1/23,2/23,3/23

Question. In a family of 3 children, find the probability of having at least 1 boy.
Solution. 7/8

Question. Find the probability that a leap year selected at random will contain 53 Sundays.
Solution. 2 / 7

Question.In a survey, it was found that 40% people use petrol, 35% uses diesel and remaining uses CNG for their vehicles. Find the probability that a person uses CNG at random.
(a) Which fuel out of above 3 is appropriate for the welfare of the society?
Solution. Probability =0.25 CNG

Question. A die is thrown once. What is probability of getting a number greater than 4?
Solution. 1/3

Question. A bag contains 4 red and 6 blackballs. A ball is taken out of the bag at random. Find the probability of getting a blackball?
Solution. 3/5

Question. Two dice are thrown simultaneously. What is the probability that:
(a) 5 will not come up either of them? (b) 5 will come up on at least one? (c) 5 will come at both dice?
Solution. A. 25/36 B. 11/36 C. 1/36

Question. The king, queen and jack of clubs are removed from a deck of 52 playing cards and remaining cards are shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of (a) heart(b) queen(c) clubs
Solution. A. 13/49 B. 3/49, C 10/49

Question. Two dice are rolled once. Find the probability of getting such numbers on the two dice whose product is 12.
Solution. 1/9

Question. Red queens and black jacks are removed from a pack of 52 playing cards. A card is drawn at random from the remaining card, after reshuffling them. Find the probability that the drawn card is:
(i) King ii) of red colour iii) a face card iv) queen
Solution. 1/12, 24/48, 1/6, 1/24

Question. Three unbiased coins are thrown simultaneously. Find the probability of getting.
Solution. 3/8, 1/2 , 7/8

Question. A number is selected randomly from all possible 3-digit numbers. What is the probability that the number selected is :
(i) an odd number (ii) having all 3 digits same (iii) divisible by 3
Solution. (i) 1/2 (ii) 1/100 (iii) 1/3

Question. A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is :
(i) a card of spade or an ace (ii) a red king (iii) neither a king nor a queen
(iv) either a king or a queen
Solution. (i) 4/13 (ii) 1/26 (iii) 11/13 (iv) 2/13

Question. In a family, there are 3 children. Assuming that the chances of a child being a male or a female are equal, find the probability that :
(i) there is one girl in the family.
(ii) there is no male child in the family.
(iii) there is atleast one male child in the family.
Solution. (i) 1/4 (ii) 1/4 (iii) 3/4

Question. Cards marked with numbers 3, 4, 5, …., 50 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that number on the card drawn is :
(i) divisible by 7 (ii) a number which is a perfect square
Solution. (i) 7/48 (ii) 1/8

Question. Balls marked with numbers 2 to 101 are placed in a box and mixed thoroughly. One ball is drawn at random from this box. Find the probability that the number on the ball is :
(i) an even number (ii) an odd number
(iii) a number less than 17 (iv) a number which is a perfect square
(v) a number which is a perfect cube (vi) a number divisible by 9
(vii) a prime number less than 41 (viii) a number which is divisible by 3 or 5.
Solution. (i) 1/2 (ii) 1/2 (iii) 3/20 (iv) 9/100 (v) 3/100 (vi) 11/100 (vii) 12/100 (viii) 47/100

Question. A bag contains 5 red balls and some blue balls. If the probability of drawing a blue ball from the bag is four times that of a red ball, find the number of blue balls in the bag.
Solution. 20

Question. A number x is selected from the numbers 1, 2, 3 and then a second number y is selected randomly from the numbers 1, 4, 9. What is the probability that the product xy < 9?
Solution. 5/9

Question. Two customers are visiting a particular shop in the same week (Tuesday to Saturday). Each is equally likely to visit on any one day as on another. What is the probability that both will visit the shop on :
(i) the same day (ii) different days? (iii) Consecutive days
Solution. (i) 1/5 (ii) 4/5 (iii) 8/25

Question. If x and y are natural numbers such that 1 ≤ x ≤ 4 and 3 ≤ y ≤ 6. What is the probability that :
(i) x + y ≥ 8 (ii) xy is even.
Solution. (i) 3/8 (ii) 3/4

Question. The letters A, B, C, A, D, E, B, A, B and F are marked on different cards such that one card has only one letter on it. A man draws one card. Find the probability that the card drawn is marked :
(i) letter A (ii) letter B (iii) letter B or D
(iv) letter A or C
Solution. (i) 3/10 (ii) 3/10 (iii) 2/5

Question. In a simultaneous throw of a pair of dice, find the probability of getting :
(i) 7 as a sum
(ii) a doublet of odd numbers
(iii) not a doublet
(iv) an odd number on the first die
(v) a sum less than 6
(vi) a sum more than 10
(vii) neither 9 nor 11 as the sum of the numbers on the faces
(viii) a total of atleast 10
(ix) a multiple of 3 as the sum
(x) a doublet of prime numbers
Solution. (i) 1/6 (ii) 1/12 (iii) 5/6 (iv) 1/2 (v) 5/18 (vi) 1/12 (vii) 5/6 (viii) 1/6 (ix) 1/3 (x) 1/12

Question. From a pack of 52 playing cards jacks, queens, kings and aces of red colour are removed. From the remaining, a card is drawn at random. Find the probability that the card drawn is :
(i) a black queen (ii) a red card (iii) a black jack
(iv) a picture card (Jacks, queens and kings are picture cards)
Solution. (i) 1/22 (ii) 9/22 (iii) 1/22 (iv) 3/22

Question. A letter is chosen at random from the letters of the word ‘MATHEMATICS’. Find the probability that the letter chosen is a
(i) vowel (ii) consonant.
Solution. (i) 4/11 (ii) 7/11

Question. Find the probability that a number selected from the number 1 to 25 is not a prime number when each of the given numbers is equally likely to be selected.
Solution. 16/25

Question. Achild has a block in the shape of a cube with one letter written on each face as shown below :    25
The cube is thrown once. What is the probability of getting :
(i) A ? (ii) D ?
Solution. (i) 1/3 (ii) 1/6

Question. A bag contains 36 balls out of which x are black.
(i) If one ball is drawn at random, what is the probability of getting a black ball?
(ii) If 12 more black balls are put in the bag, the probability of drawing a black ball is 1/2 . Find x.
Solution. (i) x/36 (ii) 12

Question. Ram and Shyam are friends. What is the probability that both will have :
(i) different birthday ? (ii) the same birthday?
(ignore the leap year).
Solution. (i) 364/365 (ii) 1/365

Question. 1000 tickets of a lottery were sold and there are 5 prizes on these tickets. If Saket has purchased one lottery ticket, what is the probability of winning a prize?
Solution. 0.005

## Mathematics Probability Worksheets for Class 10 as per CBSE NCERT pattern

Parents and students are welcome to download as many worksheets as they want as we have provided all free. As you can see we have covered all topics which are there in your Class 10 Mathematics Probability book designed as per CBSE, NCERT and KVS syllabus and examination pattern. These test papers have been used in various schools and have helped students to practice and improve their grades in school and have also helped them to appear in other school level exams. You can take printout of these chapter wise test sheets having questions relating to each topic and practice them daily so that you can thoroughly understand each concept and get better marks. As Mathematics Probability for Class 10 is a very scoring subject, if you download and do these questions and answers on daily basis, this will help you to become master in this subject.

Benefits of Free Probability Worksheets Class 10 Maths

1. You can improve understanding of your concepts if you solve NCERT Class 10 Mathematics Probability Worksheet,
2. These CBSE Class 10 Mathematics Probability worksheets can help you to understand the pattern of questions expected in Mathematics Probability exams.
3. All worksheets for Mathematics Probability Class 10 for NCERT have been organized in a manner to allow easy download in PDF format
4. Parents will be easily able to understand the worksheets and give them to kids to solve
5. Will help you to quickly revise all chapters of Class 10 Mathematics Probability textbook
6. CBSE Class 10 Mathematics Probability Workbook will surely help to improve knowledge of this subject

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