Question

From a pack of 52 cards all cards whose numbers are multiples of 3 are removed. A card is not drawn at random. What is the probability that the card drawn is



a. a face card



b.An even numbered red card

Answer 1

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 (i) Number of face cards in each set = 3 Probability that the card drawn is a face card (King, Jack And Queen) = 12/40 = 3/10
 (ii) Number of red cards = 20 Number of even numbered red cards in 20 cards = 10Probability of an even numbered red card = 10 / 20 = 1/2.