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 red and a king. 

(a) \(\frac{1}{13}\)

(b) \(\frac{1}{52}\)

(c) \(\frac{1}{26}\)

(d) \(\frac{5}{6}\)

Answer 1

(c) \(\frac{1}{26}\)

There is a total of 52 cards n(S) = 52 

Let A : Event of drawing a red king Since there are only two red kings in the pack, n(A) = 2 

∴ P(A) = \(\frac{2}{52}\) = \(\frac{1}{26}\).