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A box contains 15 green and 10 yellow ba...

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

`(12)/(5)`

B

6

C

4

D

`(6)/(25)`

Text Solution

Verified by Experts

The correct Answer is:
A
Given box contains 15 green and 10 yellow balls.
`:. Total number of balls `=15+10=25`
P(green balls)=`(15)/(25)=(3)/(5)`=p=Probability of success
P(yellow balls)`=(10)/(25)=(2)/(5)=q`=Probability of unsuccess and n=10=Number of trials.
`:. "Variance" =npq=10xx(3)/(5)xx(2)/(5)=(12)/(5)`
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