A bag contains 7 green and 8 white balls. If two balls are drawn simultaneously, the probability that both are of the same colour is -.

Probability 11/04/2021

A. 8/15
B. 2/5
C. 3/5
D. 7/15

Explanation:

Drawing two balls of same color from seven green balls can be done in ⁷C₂ ways.

Similarly from eight white balls two can be drawn in ⁸C₂ ways.
P = ⁷C₂/¹⁵C₂ + ⁸C₂/¹⁵C₂ = 7/15

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