Probability Question 364

Question: A dice is thrown ten times. If getting even number is considered as a success, then the probability of four successes is

Options:

A) $ ^{10}C_4{{( \frac{1}{2} )}^{4}} $

B) $ ^{10}C_4{{( \frac{1}{2} )}^{6}} $

C) $ ^{10}C_4{{( \frac{1}{2} )}^{8}} $

D) $ ^{10}C_6{{( \frac{1}{2} )}^{10}} $

Show Answer

Answer:

Correct Answer: D

Solution:

Required probability $ ={}^{10}C_4{{( \frac{1}{2} )}^{4}}{{( \frac{1}{2} )}^{6}}={}^{10}C_4{{( \frac{1}{2} )}^{10}} $

$ ={}^{10}C_6{{( \frac{1}{2} )}^{10}}. $