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Question -

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



Answer -

From the question it is given that, there are 52 cards inthe deck.

(a) Number of points in the sample space = 52 (given)

n(S) = 52

(b) Let us assume ‘A’ be the event of drawing an ace ofspades.

A= 1

Then, n (A) = 1

P(Event) = Number of outcomes favorable to event/ Totalnumber of possible outcomes

P(A) = n(A)/n(S)

= 1/52

(c) Let us assume ‘B’ be the event of drawing an ace. Thereare four aces.

Then, n (B)= 4

P(Event) = Number of outcomes favorable to event/ Totalnumber of possible outcomes

P(B) = n(B)/n(S)

= 4/52

= 1/13

(d) Let us assume ‘C’ be the event of drawing a black card.There are 26 black cards.

Then, n (C) = 26

P(Event) = Number of outcomes favorable to event/ Totalnumber of possible outcomes

P(C) = n(C)/n(S)

= 26/52

= ½

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