Part A) An ordinary deck of playing cards has 52 cards. There are four suits—spa

Question

Part A) An ordinary deck of playing cards has 52 cards. There are four suits—spades, hearts, diamonds, and clubs— with 13 cards in each suit. Spades and clubs are black; hearts and diamonds are red. If one of these cards is selected at random, what is the probability that it is

a. a spade? b. red? c. not a club?

Part B) A bowl contains 12 poker chips—3 red, 4 white, and 5 blue. If one of these poker chips is selected at random from the bowl, what is the probability that its color is

a. red? b. red or white? c. not white?

Explanation / Answer

Solution:

Part ( A )

( a )

Probability that the selected card is a spade = 13 / 52 = 0.25

( b )

Probability that the selected card is a red = 26 / 52 = 0.5

( c )

Probability that the selected card is not a club = 1 - ( 13/52)

= 1 - 0.25

= 0.75

Part ( B )

red = 3

white = 4

blue = 5

( a )

Probability that the selected chip is red = 3 / 12 = 0.25

Probability that the selected chip is red oe white = ( 3 + 4 ) / 12 = 7 / 12 = 0.5833

Probability that the selected chip is not white = 1 - ( 4 /12)

= 1 - 0.3333

= 0.6666

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