Statistics And Probability Question 525
Question: If a dice is thrown twice, the probability of occurrence of 4 at least once is
[UPSEAT 2003]
Options:
A) $ \frac{11}{36} $
B) $ \frac{7}{12} $
C) $ \frac{35}{36} $
D) None of these
Show Answer
Answer:
Correct Answer: A
Solution:
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Probability of occurrence of ?4? $ =\frac{1}{6} $ Probability of inoccurrence of '4' $ =\frac{5}{6} $
$ \therefore $ Required probability $ ={{,}^{2}}C_1( \frac{1}{6} ),( \frac{5}{6} ),+{{,}^{2}}C_2{{( \frac{1}{6} )}^{2}}{{( \frac{5}{6} )}^{0}}=\frac{11}{36} $ .