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Question: Answered & Verified by Expert
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:
MathematicsStatisticsJEE MainJEE Main 2017 (02 Apr)
Options:
  • A 125
  • B 6
  • C 4
  • D 625
Solution:
2348 Upvotes Verified Answer
The correct answer is: 125

For Bernoulli's trials

Variance =n.p.q

Given, number of trials n=10

Probability of drawing a green ball p=1525=35 and q=25

Hence, Variance =10×35×25=125

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