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In: Statistics and Probability

A card is dealt from a complete deck of fifty-two playing cards (no jokers). Use probability...

A card is dealt from a complete deck of fifty-two playing cards (no jokers). Use probability rules (when appropriate) to find the probability that the card is as stated. (Count an ace as high. Enter your answers as fractions.) (a) above a 3 (b) below a queen (c) both above a 3 and below a queen (d) either above a 3 or below a queen

Solutions

Expert Solution

Total number of cards = 52

a) Number of cards less than or equal to 3 ( i.e. {2,3} in 4 different suits) = 2 + 2 + 2 +2 = 8

Number of cards above 3 = 52 - 8 = 44

The probability that the selected card is above a 3

b) Number of cards above or equal a queen (i.e.{queen, king, ace}  in 4 different suits) = 3 + 3 + 3 + 3 = 12

Number of cards below a queen = 52 - 12 = 40

The probability that the selected card is below a queen

c) Number of cards above a 3 and below a queen (i.e. {4,5,6,7,8,9,10,J} in 4 different suits) = 8 + 8 + 8 + 8 = 32

The probability that the selected card is both above a 3 and below a queen

d) The probability that the selected card is either above a 3 or below a queen

orchestra answered 2 years ago
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