Probability Question 3
Question: One card is drawn from a pack of 52 cards. The probability that it is a queen or heart is
[RPET 1999]
Options:
A) $ \frac{1}{26} $
B) $ \frac{3}{26} $
C) $ \frac{4}{13} $
D) $ \frac{3}{13} $
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Answer:
Correct Answer: C
Solution:
Probability that it is queen $ P(A)=\frac{4}{52}=\frac{1}{13} $
Probability that it is heart $ P(B)=\frac{13}{52}=\frac{1}{4} $
Probability that it is queen and heart $ P(A\cap B)=\frac{1}{52} $
$ \therefore $ P (Queen or heart) $ =P(A)+P(B)-P(A\cap B) $
$ =\frac{1}{13}+\frac{1}{4}-\frac{1}{52} $
$ =\frac{4+13-1}{52} $
$ =\frac{16}{52}=\frac{4}{13} $ .
BETA
