JEE Main Solved Paper 2017 Question 26

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 :- [JEE Main Solved Paper-2017]

Options:

A) $ \frac{6}{25} $

B) $ \frac{12}{5} $

C) 6

D) 4

Show Answer

Answer:

Correct Answer: B

Solution:

  • We can apply binomial probability distribution Variance = npq $ =10\times \frac{3}{5}\times \frac{2}{5}=\frac{12}{5} $