In randomly drawing a card from 52 cards
N (S) = 52
(i) Let A denote the event that the drawn card is red.
n(A) = 26
∴ P (A) = n (A)/n (S) = 26/52 = ½
(ii) Let B denote the event that drawn card is an ace
n(B) = 4
n (S) = 52
P (B) = ?
∴ P (B) = n (B)/n (S) = 4/52 = 1/13
(iii) Let C denote the event that the drawn card is red and a king.
n(C) = 2
P(C) = ?
n(S) = n ( C)/n (S)
= 2/52 = 1/26
(IV) Let D denote the event that the drawn card is red or a king
n ( D) = 26 (red cards) + 2 (kings)
= 28
P ( D) = ?
n(S) = 52
∴ P (D) = n (D)/n (S) = 28/52 = 7/13