A standard deck of cards contains 52 cards One card is selec

A standard deck of cards contains 52 cards. One card is selected from the deck.?

(a) P(spade or heart) =
(b) P(spade or heart or diamond) =
(c) P(four or club) =

Solution

a) probability of selecting a spade is 1/4, probability of selecting a heart is also 1/4 so the probability of selecting a spade or heart is
1/4 + 1/4 = 2/4 = 1/2.

b) probability of selecting spade or heart or diamond is also 1/4 so the probability of selecting any of those is
1/4 + 1/4 + 1/4 = 3/4

c) probability of selecting four or club is 1/4 + 1/4 = 2/4 = 1/2.