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Question
A single card is drawn from a pack of 52 cards. What is the probability that the card is either a queen or 9?
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 either a queen or 9?
Let A be the event of getting a Queen.
∴ n(A) = 4C1 = 4
Let B be the event of getting a number 9.
n(B) = 4C1 = 4
P (the card is either a Queen or 9)
= P(A or B)
= P(A ∪ B
= P(A) + P(B)
(since A and B are mutually exclusive events)
= `("n"("A"))/("n"("S")) + ("n"("B"))/("n"("S"))`
= `4/52 + 4/52`
= `(4 + 4)/52`
= `8/52`
= `2/13`
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