Question

A card is drawn at random from a pack of well shuffled 52 playing cards. Find the probability that the card drawn is 

i. an ace. 

ii. a spade.

Answer 1

There are 52 playing cards. 

∴ n(S) = 52 i. Let A be the event that the card drawn is an ace. 

∴ n(A) = 4 

∴ P(A) = \(\frac{n(A)}{n(S)}\)= 4/52 

∴ P(A) = 1/13

ii. Let B be the event that the card drawn is a spade. 

∴ n(B) = 13 

∴ P(B) = \(\frac{n(B)}{n(S)}\) = 13/52 

∴ P(B) = 1/4

∴ P(A) = 1/13 ; P(B) = 1/4