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A box contains 5 yellow, 4 white and 7 green balls. Three balls are randomly picked from the box. What is the probability that all of them are green balls?


1. 11/72
2. 7/72
3. 23/72
4. 1/16
5. 19/72

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Best answer
Correct Answer - Option 4 : 1/16

Given:

Number of yellow balls = 5

Number of white balls = 4

Number of green balls = 7

Calculation:

Total number of balls in the box = (5 + 4 + 7) = 16

Number of ways to choose 3 balls from the box = 16C3 = 560

Number of green balls in the box = 7

Number of ways to choose 3 green balls = 7C3 = 35

∴ Required probability = 35/560 = 1/16

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