Hg
Name: Class 10 Date:
___________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________
The Hg Classes (8
th
to 12
th
) By: Er Hershit Goyal (B.Tech. IIT BHU), 134-SF, Woodstock Floors, Nirvana Country, Sector 50, GURUGRAM +91 9599697178.
fb.me/thehgclasses linkedin.com/company/the-hg-classes instagram.com/the_hg_classes g.page/the-hg-classes-gurugram thehgclasses.co.in
Probability
1. A bag contains 9 black and 12 white balls. One ball is drawn at random. What is the probability that the
ball drawn is black?
2. Find the probability that a number selected from the numbers 1 to 25 which is not a prime number
when each of the given number is equally likely to be selected.
3. A bag contains 10 red, 5 blue and 7 green balls. A ball is drawn at random. Find the probability of this
ball being not a blue ball.
4. Two dice are thrown at the same time and the product of numbers appearing on them is noted. Find
the probability that the product is less than 9.
5. Cards, marked with numbers 5 to 50, are placed in a box and mixed thoroughly. A card is drawn from
the box at random. Find the probability that the number on the taken-out card is:
(i) a prime number less than 10.
(ii) a number which is a perfect square.
6. Two dice are thrown simultaneously. What is the probability that:
(i) 5 will not come up on either of them?
(ii) 5 will come up on at least one?
(iii) 5 will come up at both dice?
7. From a well shuffled pack of playing cards, black jacks, black kings and black aces are removed. A card is
then drawn from the pack. Find the probability of getting.
(i) a red card (ii) not a diamond card.
8. A bag contains cards which are numbered from 2 to 90. A card is drawn at random from the bag. Find
the probability that it bears.
(i) a two-digit number (ii) a number which is a perfect square.
9. Cards numbered 1 to 30 are put in a bag. A card is drawn at random from this bag. Find the probability
that the number on the drawn card is:
(i) not divisible by 3. (ii) a prime number greater than 7.
(iii) not a perfect square number.
10. Two different dice are tossed together. Find the probability:
(i) That the numbers on either die is even.
(ii) That the sum of numbers appearing on the two dice is 5.
Hg
Name: Class 10 Date:
___________________________________________________________________________________________________________________________________
___________________________________________________________________________________________________________________________________
The Hg Classes (8
th
to 12
th
) By: Er Hershit Goyal (B.Tech. IIT BHU), 134-SF, Woodstock Floors, Nirvana Country, Sector 50, GURUGRAM +91 9599697178.
fb.me/thehgclasses linkedin.com/company/the-hg-classes instagram.com/the_hg_classes g.page/the-hg-classes-gurugram thehgclasses.co.in
Answers:
1. 3/7
2. 16/25
3. 17/22
4. 4/9
5. i) 1/23 ii) 5/46
6. i) 25/36 ii) 11/36 iii) 1/36
7. i) 13/23 ii) 36/46
8. i) 81/89 ii) 8/89
9. i) 2/3 ii) 1/5 iii) 5/6
10. i) 27/36 = 3/4 ii) 4/36 = 1/9
