2. PYQS CBSE CLASS 10 (Maths):PROBABILITY
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]
3. PYQS CBSE CLASS 10 (Maths):PROBABILITY
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]
4. PYQS CBSE CLASS 10 (Maths):PROBABILITY
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]
5. PYQS CBSE CLASS 10 (Maths):PROBABILITY
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]
6. PYQS CBSE CLASS 10 (Maths):PROBABILITY
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]
7. PYQS CBSE CLASS 10 (Maths):PROBABILITY
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]
8. PYQS CBSE CLASS 10 (Maths):PROBABILITY
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]
9. PYQS CBSE CLASS 10 (Maths):PROBABILITY
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]
10. PYQS CBSE CLASS 10 (Maths):PROBABILITY
Rahim tosses two different coins simultaneously. Find the probability of getting at least
one tail. [CBSE 2014] [2 Marks]
11. PYQS CBSE CLASS 10 (Maths):PROBABILITY
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]
12. PYQS CBSE CLASS 10 (Maths):PROBABILITY
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]
13. PYQS CBSE CLASS 10 (Maths):PROBABILITY
A die is thrown once. Find the probability of getting (i) a composite number, (ii) a prime number. [CBSE 2019] [2 Marks]
14. PYQS CBSE CLASS 10 (Maths):PROBABILITY
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]
15. PYQS CBSE CLASS 10 (Maths):PROBABILITY
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]
16. PYQS CBSE CLASS 10 (Maths):PROBABILITY
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]
17. PYQS CBSE CLASS 10 (Maths):PROBABILITY
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]
18. PYQS CBSE CLASS 10 (Maths):PROBABILITY
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]
19. PYQS CBSE CLASS 10 (Maths):PROBABILITY
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]
20. PYQS CBSE CLASS 10 (Maths):PROBABILITY
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]
21. PYQS CBSE CLASS 10 (Maths):PROBABILITY
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]