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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 (1) an ace (2) a spade. |
Answer» Correct Answer - (1) `(1)/(13)` (2) `(1)/(4)` S is the sample space `thereforen(S)=52" "....("There are 52 playing cards")` (1) Let A be the event that the card drawn is an ace. There are four suits,Spade,Heart,Diamond and Club. Each suit has one ace. `thereforen(A)={4}` `P(A)=(n(A))/(n(S))=(4)/(52)=(1)/(13).` (2) Let B be the event that the card drawn is a spade. There are 13 cards in the suit of spade One spade can be drawn out of 13 spade cards in 13 ways. `thereforen(B)=13` `P(B)=(n(B))/(n(S))=(13)/(52)=(1)/(4)` |
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