In 52 playing cards, heart, diamonds, clubs and spades, choose a card randomly, what is the probability of choosing a king or a club
Question
In 52 playing cards, heart, diamonds, clubs and spades, choose a card randomly, what is the probability of choosing a king or a club
Solution
There are 4 kings and 13 clubs in a standard deck of 52 playing cards. However, one of the kings is a club, so we need to avoid double-counting it.
The probability of an event is the number of ways that event can occur divided by the total number of outcomes.
The number of ways to draw a king or a club is 4 (kings) + 13 (clubs) - 1 (the king of clubs, which is counted in both previous numbers) = 16.
So, the probability of drawing a king or a club is 16 / 52 = 0.3077 when rounded to four decimal places.
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