# Class 10 – Probability – Previous Years Questions

Previous Years Questions Important Questions**Probability – Previous Years Questions**

- If two different dice are rolled together, the probability of getting an even number on both dice is
- 1/36
- 1/2
- 1/6
- 1/4
**[CBSE 2014] [1 Mark]**

- A number is selected at random from the numbers 1 to 30. The probability that it is a prime number is
- 2/3
- 1/6
- 1/3
- 11/30
**[CBSE 2014] [1 Mark]**

- 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]** - 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]** - 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]** - 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
- 1/3
- 9/15
- 5/10
- 2/3
**[CBSE 2020] [1 Mark]**

- 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]** - 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]** - Rahim tosses two different coins simultaneously. Find the probability of getting at least one tail.
**[CBSE 2014] [2 Marks]** - Two different dice are tossed together. Find the probability :
- of getting a doublet.
- of getting a sum 10, of the numbers on the two dice.
**[CBSE 2018] [2 Marks]**

- An integer is chosen random between 1 to 100. Find the probability that it is:
- divisible by 8.
- not divisible by 8.
**[CBSE 2018] [2 Marks]**

- A die is thrown once. Find the probability of getting (i) a composite number, (ii) a prime number.
**[CBSE 2019] [2 Marks]** - 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]** **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:- Neem – 125
- Peepal – 165
- Creepers – 50
- Fruit plants – 150
- 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- a fruit plant or a flowering plant ?
- either a Neem plant or a Peepal plant ?
**[CBSE 2020] [2 Marks]**

- 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]** - Three different coins are tossed together. Find the probability of getting
- exactly two heads
- at least two heads
- at least two tails.
**[CBSE 2016] [3 Marks]**

- 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
- an odd number.
- a multiple of 5.
- a perfect square.
- an even prime number.
**[CBSE 2014] [4 Marks]**

- A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is
- a card of spade or an ace.
- a black king.
- neither a jack nor a king.
- either a king or a queen.
**[CBSE 2015] [4 Marks]**

- 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]** - 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
- a black jack
- a black queen
- a black card
- a king
**[CBSE 2017] [4 Marks]**

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