X CBSE NCERT Board Questions Chapter Probability

1. Which of the following can be the probability of an event ?

(A) 0.05 (B) 1.005 (C) 18/ 23 (D) 9/7

2. The probability of getting 53 Fridays in a leap year is :

(A) 1/7 (B) 2/7 (C) 4/7 (D) 5/7

3. If an event occurs surely, then its probability is (A) 0 (B) 1 (C) 1/2 (D) 3/4

4.Two dice are thrown at the same time. Find the probability of getting an even number on the first die.

5. A coin is tossed two times. Find the probability of getting at least one tail.

6.If there are 2 children in a family, find the probability that there is at least one boy in the family.

6. Two dice are thrown together. Find the probability that a multiple of 2 occurs on one dice and a multiple 

of 3 occurs on the other.

7.A card is drawn from a well shuffled pack of 52 playing cards. What is the probability that the card drawn 

is : (i) either a red or a king (ii) a black face card

8. A bag contains 6 red, 3 black and 6 white balls. A ball is selected at random from the bag. Find the 

probability that the selected ball is : (a) red or black (b) not black

9. A coin is tossed three times. Find the probability of getting exactly two tails

10. Two dice are thrown together. What is the probability of getting a doublet ?

11. A coin is tossed 3 times. Find the probability of getting : (i) at least 2 heads (ii) not getting the same result in all the tosses (iii) exactly 1 tail

12. A card is drawn at random from a well – shuffled deck of 52 playing cards. Find the probability that the card drawn is : (i) either a spade or an ace (ii) a black king

13.One card is drawn at random from a well shuffled deck of 52 cards. Find the probability of getting : (i) a king of red colour (ii) a face card (iii) a red face card (iv) the jack of hearts (v) a spade (vi) a queen of diamonds

14. Cards marked with numbers 5, 6, 7, ……., 30 are placed in a box and mixed thoroughly and one card is drawn at random from the box. What is the probability that the number on the card is (i) a prime number ? (ii) a multiple of 3 or 5 ? (iii) neither divisible by 5 nor by 10 ? 

15. One card is drawn at random from a well shuffled deck of 52 cards. Find the probability of getting :

 (i) a king of red colour (ii) a face card (iii) a red face card (iv) the jack of hearts (v) a spade (vi) a queen of diamonds