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:

  •         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} $ .