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:
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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}. $