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Question
A card is drawn at random from a well-shuffled deck of playing cards. Find the probability that the card drawn is a card of spade or an ace.
Sum
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Solution
Let S be the sample space of drawing a card from a well-shuffled deck.
n(S) = `^52C_1`
= 52
(i) There are 13 spade cards and 4 aces in a deck. As the ace of spades is included in 13 spade cards, so there are 13 spade cards and 3 aces
A card of spades or an ace can be drawn in
`^13C_1 + ^3C_1 = 13 + 3`
= 16
Probability of drawing a card of a spade or an ace = `16/52`
= `4/13`
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