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

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

A

1/1296

B

4/6

C

1

D

1295/1296

Answer

1/1296

Explanation

Solution

Probability of coming ‘six’ in one throw is 1/6.

Hence required probability is given by

= 4C4(16)4.(56)0=112964C_{4}\left( \frac{1}{6} \right)^{4}.\left( \frac{5}{6} \right)^{0} = \frac{1}{1296}