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A card is drawn at random from a pack of well shuffled 52 playing cards. Find the probability that the card drawn is i. an ace. ii. a spade. |
Answer» There are 52 playing cards. ∴ n(S) = 52 i. Let A be the event that the card drawn is an ace. ∴ n(A) = 4 ∴ P(A) = \(\frac{n(A)}{n(S)}\)= 4/52 ∴ P(A) = 1/13 ii. Let B be the event that the card drawn is a spade. ∴ n(B) = 13 ∴ P(B) = \(\frac{n(B)}{n(S)}\) = 13/52 ∴ P(B) = 1/4 ∴ P(A) = 1/13 ; P(B) = 1/4 |
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