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Five cards are drawn successively with replacement from a well-shuffled deck of 52 cards. What is the probability that (i) all the five cards are diamodns? (ii) only 3 cards are diamonds? (iii) none is a diamonds?

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This is exactly like http://clay6.com/qa/593 except for spades substituted w/ diamonds.
(i) P all 5 are diamonds (X = 5)$ = \large \frac{1}{1024}$
(ii) Probability that only 3 cards are diamonds $= \large \frac{90}{1024}$
(iii) Probability that there are no diamonds$ = \large\frac{243}{1024}$
answered Mar 20, 2014 by balaji.thirumalai

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