A card is selected from a pack of 52 cards.

(a) How many points are there in the sample space?

(b) Calculate the probability that the card is an ace of spades.

(c) Calculate the probability that the card is (i) an ace (ii) black card.

(a) Number of pointsevents in the sample space = 52 (number of cards in deck)

(b) Let A be the event of drawing an ace of spades.

Here A= 1, n (A) = 1

(c) Let A be the event of drawing an ace. There are four aces.

∴ n (A)= 4

(d) Let A be the event of drawing a black card. There are 26 black cards.

∴ n (A) = 26