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 1

(a) One card is drawn from a pack of 52 cards.
$\Rightarrow$ Number of points in the sample space
S = n (S) = 52
(b) Let be the event of drawing an ace of spades. Now there is only once ace fo spade.
$\therefore P\left(A\right)=\frac{1}{52}$
(c) (i) Let B be the event of drawing an ace. Now there are four aces.
$\therefore P\left(C\right)=\frac{4}{52}=\frac{1}{13}$
(ii) Let C be the event of drawing a black card. Now there are 26 black cards.
$\therefore P\left(C\right)=\frac{26}{52}=\frac{1}{2}$