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Question
A single card is drawn from a pack of 52 cards. What is the probability that the card is an ace or a king
Solution
S be the sample space one card is drawn from a pack of 52 cards.
∴ n(S) = 52C1
n(S) = 52
The card is an ace or a king
Let A be the event of getting an ace.
n(A) = 4C1 = 4
Let B be the event of getting a king.
n(B) = 4C1 = 4
P(getting an ace or a king)
= P(A or B)
= P(A ∪ B)
= P(A) + P(B)
(since A and B are mutually exclusive events, A ∩ B = Φ)
= `("n"("A"))/("n"("S")) + ("n"("B"))/("n"('S"))`
= `4/52 + 4/52`
= `(4 + 4)/52`
= `8/52`
= `2/13`
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