Question

One card is drawn from a pack of 52 cards each of the 52 cards being equally likely to be drawn. Find the probability that the card drawn is: (i) An ace (ii) Red (iii) Either red or king (iv) Red and king (v) A face card

Answer 1

i) n(S) = 52

n(Ace) = 4

P(Ace) = 4/52 = 1/13

Probability of drawing Ace=1/13

ii) n(Red) = 26

P(Red) = 26/52 = 1/2

Probability of drawing Red card=1/13

iii)n(red) = 26

n(King) = 2

P(red or king) = 26+2/52 = 28/52 = 19/26

Probability of drawing red or king card=1/13

iv)n(red king) = 2

P(red king) = 2/52 = 1/26

Probability of drawing red and king card=1/13

v)n(Face) = 12

P(Face) = 12/52 = 3/13

Probability of drawing Face card=1/13