CBSE Class 10 Mathematics Probability Assignment Set B

LEVEL-II

1. One card is drawn from a well shuffled deck of 52 cards. Find the probability of getting.

i. An ace

ii. A face card Ans- i- 1/13

ii- 3/13

2. A bag contains 5 red balls, 4 green ball and 7 white balls. A ball is drawn at random from the bag. Find the probability that the ball drawn is (i) White (II) neither Red nor White.
Ans- (i) 7/16

(II)1/4

3. Find the probability of getting 53 Friday in a leap year. Ans-2/7

4. Two dice are thrown simultaneously. What is the probability that.

i. 5 will come up on at least one?

ii. 5 will come up at both dice?

Ans-(i)11/36

(ii)1/36

5. Two coins are tossed once. Find the probability of getting.

i. Exactly one head Ans-(i)1/2

ii. Almost one head (ii)3/4

6. In a lottery there are 10 prizes and 25 blank. Find the probability of getting a prize.
Ans-2/7

7. The king, the queen and the jack of clubs are removed from a deck of 52 playing cards and the remaining cards are shuffled. A card is drawn from the remaining cards. Find the probability of getting a card of .

i. Heart Ans-(i)13/49 (ii)3/49 (iii)10/49

ii. Queen

iii. Clubs

LEVEL - III

1. Nidhi and Nisha are two friends. What is the probability that both will have

a. Same birthday Ans-(a) 1/365

b. Different birthday (ignore the leap year) (b)364/365

2. A card is drawn at random from a well shuffled deck of 52 cards. What is the probability of drawing

a. King or a spade Ans-(a) 4/13 (b)3/4 (c)5/52

b. A non spade

c. Either a king or a 10 of heart

3. Tom was born in February 2000. What is the probability that he was born on 13th Feb?
Ans-1/29

4. Find the probability of getting 53 Mondays in a leap year 53 Tuesday in a non leap year.
Ans-2/7 and 1/7

5 A letter is selected from the letter of word MATHEMATICS. What is the probability that it is M?
Ans-2/11