Class 10 – Probability – Previous Years Questions

Previous Years Questions Important Questions

Probability – Previous Years Questions

1. If two different dice are rolled together, the probability of getting an even number on both dice is
   1. 1/36
   2. 1/2
   3. 1/6
   4. 1/4 [CBSE 2014] [1 Mark]
2. A number is selected at random from the numbers 1 to 30. The probability that it is a prime number is
   1. 2/3
   2. 1/6
   3. 1/3
   4. 11/30 [CBSE 2014] [1 Mark]
3. Two different dice are tossed together. Find the probability that the product of two numbers on the top of the dice is 6. [CBSE 2015] [1 Mark]
4. A card is drawn at random from a well shuffled pack of 52 playing cards. Find the probability of getting neither a red card nor a queen. [CBSE 2016] [1 Mark]
5. A die is thrown once. Find the probability of getting a number which is either a multiple of 2 or of 3. [CBSE 2017] [1 Mark]
6. A bag contains 3 red, 5 black and 7 white balls. A ball is drawn from the bag at random. The probability that the ball drawn is not black, is
   1. 1/3
   2. 9/15
   3. 5/10
   4. 2/3 [CBSE 2020] [1 Mark]
7. Two dice are thrown simultaneously. What is the probability that the sum of the two numbers appearing on the top is 13 ? [CBSE 2020] [1 Mark]
8. Two dice are thrown simultaneously. What is the probability that the product of thee numbers appearing on the top is 1 ? [CBSE 2020] [1 Mark]
9. Rahim tosses two different coins simultaneously. Find the probability of getting at least one tail. [CBSE 2014] [2 Marks]
10. Two different dice are tossed together. Find the probability :
    1. of getting a doublet.
    2. of getting a sum 10, of the numbers on the two dice. [CBSE 2018] [2 Marks]
11. An integer is chosen random between 1 to 100. Find the probability that it is:
    1. divisible by 8.
    2. not divisible by 8. [CBSE 2018] [2 Marks]
12. A die is thrown once. Find the probability of getting (i) a composite number, (ii) a prime number. [CBSE 2019] [2 Marks]
13. Cards numbered 7 to 40 were put in a box. Poonam selects a card at random. What is the probability that Poonam selects a card which is a multiple of 7 ? [CBSE 2019] [2 Marks]
14. Tree Plantation Drive
    A Group Housing Society has 600 members, who have their houses in the campus and decided to hold a Tree Plantation Drive on the occasion of New Year. Each house hold was given the choice of planting a sapling of its choice. The number of different types saplings planted were:
    1. Neem – 125
    2. Peepal – 165
    3. Creepers – 50
    4. Fruit plants – 150
    5. Flowering plants – 110
       On the opening ceremony, one of the plants is selected randomly for a prize. After reading the above passage, answer the following questions.
       What is the probability that the selected plant is
       1. a fruit plant or a flowering plant ?
       2. either a Neem plant or a Peepal plant ? [CBSE 2020] [2 Marks]
15. The probability of selecting a red ball at random from a jar that contains only red, blue and orange balls is 1/4. The probability of selecting a blue ball at random from the same jar is 1/3. If the jar contains 10 orange balls, find the total number of balls in the jar. [CBSE 2015] [3 Marks]
16. Three different coins are tossed together. Find the probability of getting
    1. exactly two heads
    2. at least two heads
    3. at least two tails. [CBSE 2016] [3 Marks]
17. A bag contains cards numbered from 1 to 49. A card is drawn at random from the bag after mixing the cards thoroughly. Find the probability that the number on the drawn card is
    1. an odd number.
    2. a multiple of 5.
    3. a perfect square.
    4. an even prime number. [CBSE 2014] [4 Marks]
18. A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is
    1. a card of spade or an ace.
    2. a black king.
    3. neither a jack nor a king.
    4. either a king or a queen. [CBSE 2015] [4 Marks]
19. A number x is selected at random from the numbers 1, 2, 3 and 4. Another number y is selected at random from the numbers 1, 4, 9 and 16. Find the probability that product of x and y is less than 16. [CBSE 2016] [4 Marks]
20. Out of a deck of 52 playing cards, two black kings and four red cards (not king) are removed. A card is drawn at random. Find the probability that the card drawn is
    1. a black jack
    2. a black queen
    3. a black card
    4. a king [CBSE 2017] [4 Marks]