A bowl contains 9 blue balls, 7 white and 5 black balls. If 2 balls are drawn in one go, then the probability of exactly one ball being white is:
Answers
Given : A bowl contains 9 blue balls, 7 white and 5 black balls.
2 balls are drawn in one go,
To find: the probability of exactly one ball being white
Solution:
Blue balls = 9
White Balls = 7
Black Balls = 5
Total Balls = 9 + 7 + 5 = 21
2 balls are drawn in one go Hence there is no specific order of drawing 2 different balls.
2 Balls can be selected out of 21 in ²¹C₂ = 210 ways
1 white ball out of 7 white balls can be selected in 7 ways
1 non white ball out of 14 non-white balls can be selected in 14 ways
Hence ways to select exactly one ball being white = 7 * 14 = 98
Probability of exactly one ball being white = 98/210
= 7/15
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