Statistics And Probability Question 393

Question: If a dice is thrown 7 times, then the probability of obtaining 5 exactly 4 times is

Options:

A) $ ^{7}C_4,{{( \frac{1}{6} )}^{4}}{{( \frac{5}{6} )}^{3}} $

B) $ ^{7}C_4,{{( \frac{1}{6} )}^{3}}{{( \frac{5}{6} )}^{4}} $

C) $ {{( \frac{1}{6} )}^{4}}{{( \frac{5}{6} )}^{3}} $

D) $ {{( \frac{1}{6} )}^{3}}{{( \frac{5}{6} )}^{4}} $

Show Answer

Answer:

Correct Answer: A

Solution:

  •              Required probability  $ ={}^{7}C_4{{( \frac{1}{6} )}^{4}}{{( \frac{5}{6} )}^{3}}. $