Question

From a pack of playing cards all cards whose numbers are multiple of 3 are removed. A card is now drawn at random. Then the probability that the card is drawn is an even number is a red card:

• A. $\frac{10}{52}$
• B. $\frac{1}{4}$
• C. $\frac{1}{5}$
• D. $\frac{3}{13}$

Answer 1

The correct option is C $\frac{1}{5}$

Total number of cards = $52$

Multiples of 3 in each set = $3$

Multiples of 3 in all the four sets = $12$

Remaining number of cards = $52-12=40$

Number of red cards = $20$

Number of even numbered red cards in $20$ cards = $8$

Probability of an even numbered red card = $\frac{8}{40}=\frac{1}{5}$.