A box contains 20 balls bearing numbers 1, 2, 3, 4, ......, 20. A ball is drawn at random from the box. What is the probability that the number on the ball is (i) an odd number (ii) divisible by 2 or 3 (iii) prime number (iv) not divisible by 10?

A ball is drawn at random from the box it means that all outcomes are equally likely. Sample space = {1, 2, 3, ......, 20}, which has 20 equally likely outcomes. (i) Let A be the event 'the number on the ball is odd', then A = {1, 3, 5, 7, 9, 11, 13, 15, 17, 19}. ∴ The number of favourable outcomes to the event A = 10. ∴ P(odd number) = Hence, the probability that the ball drawn has an odd number is (ii) Let B be the event 'the number on the ball is divisible by 2 or 3', then B = {2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20}. ∴ The number of favourable outcomes to the event B = 13. ∴ P(number is divisible by 2 or 3) = Hence, the probability that the ball drawn has a number that is divisible by 2 or 3 is (iii) Let C be the event 'the number on the ball is prime', then C = {2, 3, 5, 7, 11, 13, 17, 19}. ∴ The number of favourable outcomes to the event C = 8. ∴ P(prime number) = Hence, the probability that the ball drawn has a prime number is (iv) Let D be the event 'the number on the ball is not divisible by 10', then D = {1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 12, 13, 14, 15, 16, 17, 18, 19}. ∴ The number of favourable outcomes to the event D = 18. ∴ P(number is not divisible by 10) = Hence, the probability that the ball drawn has a number that is not divisible by 10 is

A bag contains 5 red, 8 white and 7 black balls. A ball is drawn from the bag at random. Find the probability that the drawn ball is
(i) red or white
(ii) not black
(iii) neither white nor black.

View Answer Bookmark Now

A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue balls. One ball is drawn at random from the bag. What is the probability that the ball drawn is :
(i) white or blue
(ii) red or black
(iii) not white
(iv) neither white nor black?

View Answer Bookmark Now

Find the probability that a number selected at random from the numbers 1, 2, 3, ……, 35 is a
(i) prime number
(ii) multiple of 7
(iii) multiple of 3 or 5

View Answer Bookmark Now

Cards marked with numbers 13, 14, 15, …., 60 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that the number on the card is
(i) divisible by 5
(ii) a number which is a perfect square.

View Answer Bookmark Now

Mathematics

A box contains 20 balls bearing numbers 1, 2, 3, 4, ……, 20. A ball is drawn at random from the box. What is the probability that the number on the ball is
(i) an odd number
(ii) divisible by 2 or 3
(iii) prime number
(iv) not divisible by 10?

Probability

Related Questions

A bag contains 5 red, 8 white and 7 black balls. A ball is drawn from the bag at random. Find the probability that the drawn ball is
(i) red or white
(ii) not black
(iii) neither white nor black.

A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue balls. One ball is drawn at random from the bag. What is the probability that the ball drawn is :
(i) white or blue
(ii) red or black
(iii) not white
(iv) neither white nor black?

Find the probability that a number selected at random from the numbers 1, 2, 3, ……, 35 is a
(i) prime number
(ii) multiple of 7
(iii) multiple of 3 or 5

Cards marked with numbers 13, 14, 15, …., 60 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that the number on the card is
(i) divisible by 5
(ii) a number which is a perfect square.

Mathematics

A box contains 20 balls bearing numbers 1, 2, 3, 4, ……, 20. A ball is drawn at random from the box. What is the probability that the number on the ball is(i) an odd number(ii) divisible by 2 or 3(iii) prime number(iv) not divisible by 10?

Probability

Related Questions

A bag contains 5 red, 8 white and 7 black balls. A ball is drawn from the bag at random. Find the probability that the drawn ball is(i) red or white(ii) not black(iii) neither white nor black.

A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue balls. One ball is drawn at random from the bag. What is the probability that the ball drawn is :(i) white or blue(ii) red or black(iii) not white(iv) neither white nor black?

Find the probability that a number selected at random from the numbers 1, 2, 3, ……, 35 is a(i) prime number(ii) multiple of 7(iii) multiple of 3 or 5

Cards marked with numbers 13, 14, 15, …., 60 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that the number on the card is(i) divisible by 5(ii) a number which is a perfect square.

A box contains 20 balls bearing numbers 1, 2, 3, 4, ……, 20. A ball is drawn at random from the box. What is the probability that the number on the ball is
(i) an odd number
(ii) divisible by 2 or 3
(iii) prime number
(iv) not divisible by 10?

A bag contains 5 red, 8 white and 7 black balls. A ball is drawn from the bag at random. Find the probability that the drawn ball is
(i) red or white
(ii) not black
(iii) neither white nor black.

A bag contains 5 white balls, 7 red balls, 4 black balls and 2 blue balls. One ball is drawn at random from the bag. What is the probability that the ball drawn is :
(i) white or blue
(ii) red or black
(iii) not white
(iv) neither white nor black?

Find the probability that a number selected at random from the numbers 1, 2, 3, ……, 35 is a
(i) prime number
(ii) multiple of 7
(iii) multiple of 3 or 5

Cards marked with numbers 13, 14, 15, …., 60 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that the number on the card is
(i) divisible by 5
(ii) a number which is a perfect square.