Statistics And Probability Question 433

Question: If a dice is thrown 5 times, then the probability of getting 6 exact three times, is

Options:

A) $ \frac{125}{388} $

B) $ \frac{125}{3888} $

C) $ \frac{625}{23328} $

D) $ \frac{250}{2332} $

Show Answer

Answer:

Correct Answer: B

Solution:

  •              Required probability  $ ={}^{5}C_3{{( \frac{1}{6} )}^{3}}{{( \frac{5}{6} )}^{2}}=\frac{125}{3888}. $