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Question

A box contains 15 green and 10 yellow balls. If 10 balls are randomly drawn one-by-one with replacement, then the variance of the number of green balls drawn is ?

A
125
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B
6
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C
4
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D
625
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Solution

The correct option is A 125
Given box contains 15 green and 10 yellow balls.
Total number of balls = 15 + 10 = 25
P(green balls) =1525=35=p= Probability of success
P(yellow balls) =1025=25=q= Probability of failure
n = 10 = Number of trials.
Variance=npq=10×35×25=125

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