Statistics And Probability Question 216
Question: Word ?UNIVERSITY? is arranged randomly. Then the probability that both ?I? does not come together, is
[UPSEAT 2001]
Options:
A) $ \frac{3}{5} $
B) $ \frac{2}{5} $
C) $ \frac{4}{5} $
D) $ \frac{1}{5} $
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Answer:
Correct Answer: C
Solution:
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Total number of ways $ =\frac{10\,!}{2\,!} $ Favourable number of ways for $ 'I' $ come together is $ 9\,! $ Thus probability that $ 'I' $ come together $ =\frac{9\,!\,\times \,2\,!}{10\,!}=\frac{2}{10}=\frac{1}{5} $ . Hence required probability $ =1-\frac{1}{5}=\frac{4}{5}. $
BETA
