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

N/a

Explanation

No. of cards in a pack of deck `=52`
No. of sample points in sample space `n(S)=52`
(b) Favourable outcome of getting an ace of spade `=1`
`:.` Probability of getting an ace of space `=1/52`
(c) (i) No. of aces `=4`
`:.` Favourable outcomes of getting an ace `=4`
`implies` Probability of getting an ace `=4/52=1/13`
(ii) No. of cards of black colour `=26`
`:.` Favourable outcomes of getting a black card `=26`
`implies` Probability of getting a black card `=26/52=1/2`