Question 55

A bag contains 4 red balls, 5 green balls and 6 yellow balls. Two balls are drawn at random from this bag. What is the probability that exactly one of the balls is yellow in colour?

The total number of balls in the bag = 15
Total number of ways of drawing out two balls = 15C2 = 105
Favorable ways = 6C1*9C1 = 54
Hence, the required probability is given by 54/105 = 18/35.

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