Probability Question 236

Question: A card is drawn at random from a pack of cards. The probability of this card being a red or a queen is

[MP PET 1989]

Options:

A) $ \frac{1}{13} $

B) $ \frac{1}{26} $

C) $ \frac{1}{2} $

D) $ \frac{7}{13} $

Show Answer

Answer:

Correct Answer: D

Solution:

Required probability is $ P(Red+Queen)-P(Red\cap Queen) $

$ =P(Red)+P(Queen)-P(Red\cap Queen) $

$ =\frac{26}{52}+\frac{4}{52}-\frac{2}{52}=\frac{28}{52}=\frac{7}{13}. $