Question

a bag contains 10 red balls and 15 blue balls.two balls are drawn at random. The probability that one of them is blue and the other is red is​

Answer 1

total number of balls = 10+15 =25

probability of getting a red ball = 10/25 I, e 2/5

probability of getting a blue ball = 15/25 = 3/5

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Answer 2

The probability of choosing a red ball is 10c1

The proability of choosing a blue ball is 15c1

Totally out of 25 balls we have to choose 2

So the proability of choosing 2 balls out of 25 balls is 25c2

Hence the total proability of getting one red and one blue ball out of 25 balls is

10c1 * 15c1 totally divided 25c2

Which is equal to 1/2