Probability Question 181
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}. $