Statistics And Probability Question 396
Question: Two cards are drawn one by one from a pack of cards. The probability of getting first card an ace and second a colored one is (before drawing second card first card is not placed again in the pack)
[UPSEAT 1999; 2003]
Options:
A) $ \frac{1}{26} $
B) $ \frac{5}{52} $
C) $ \frac{5}{221} $
D) $ \frac{4}{13} $
Show Answer
Answer:
Correct Answer: C
Solution:
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$ P(E_1)=\frac{4}{52}=\frac{1}{13} $ , $ P( \frac{E_2}{E_1} )=\frac{15}{51}=\frac{5}{17} $ $ P(E_1\cap E_2)=P(E_1).P\,( \frac{E_2}{E_1} )=\frac{1}{13}.\,\frac{5}{17}=\frac{5}{221} $ .
BETA
