Statistics And Probability Question 406

Question: If x denotes the number of sixes in four consecutive throws of a dice, then $ P,(x=4) $ is

[BIT Ranchi 1991]

Options:

A) $ \frac{1}{1296} $

B) $ \frac{4}{6} $

C) 1

D) $ \frac{1295}{1296} $

Show Answer

Answer:

Correct Answer: A

Solution:

  •         Probability of coming ?six? in one throw is  $ \frac{1}{6} $             Hence required probability is given by                  $ ={}^{4}C_4{{( \frac{1}{6} )}^{4}}.{{( \frac{5}{6} )}^{0}}=\frac{1}{1296}. $