b) A Heart or Spade? (Please enter a reduced fraction.)

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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Solve part b

As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split
into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is
split into 13 individual cards (Ace, 2-10, Jack, Queen, and King).
If you select a card at random, what is the probability of getting:
a) A(n) 7 of Diamond s?
(Please enter a reduced fraction.)
b) A Heart or Spade?
(Please enter a reduced fraction.)
c) A number smaller than 7 (counting the ace as a 1)?
(Please enter a reduced fraction.)
69
Transcribed Image Text:As shown above, a classic deck of cards is made up of 52 cards, 26 are black, 26 are red. Each color is split into two suits of 13 cards each (clubs and spades are black and hearts and diamonds are red). Each suit is split into 13 individual cards (Ace, 2-10, Jack, Queen, and King). If you select a card at random, what is the probability of getting: a) A(n) 7 of Diamond s? (Please enter a reduced fraction.) b) A Heart or Spade? (Please enter a reduced fraction.) c) A number smaller than 7 (counting the ace as a 1)? (Please enter a reduced fraction.) 69
Expert Solution
Step 1

(b) P(getting a heart or spade) = P(getting a heart) + P(getting a spade)

                                                 = 1352+1352

                                                = 12

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