Probability Question 70
Question: One card is drawn randomly from a pack of 52 cards, then the probability that it is a king or spade is
[RPET 2001]
Options:
A) $ \frac{1}{26} $
B) $ \frac{3}{26} $
C) $ \frac{4}{13} $
D) $ \frac{3}{13} $
Show Answer
Answer:
Correct Answer: C
Solution:
Probability of king $ P(A)=\frac{4}{52}=\frac{1}{13} $
Probability of spade $ =\frac{13}{52} $ $ =\frac{1}{4} $
$ P $ (King or spade) = $ P( $ king) + P (spade) $ -P $ (King and spade) $ =\frac{1}{13}+\frac{1}{4}-\frac{1}{52} $
$ =\frac{4+13-1}{52}=\frac{16}{52}=\frac{4}{13} $ .
BETA
