2 DETAILS As shown above, a classic deck of cards is made up of 52 cards, 26 are

Question

2 DETAILS 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: 1) A(n) 8 of Diamond s? Preview 2) A Spade or Club? Preview 3) A number smaller than 6 (counting the ace as a 1)? Previeww License Points possible: 10

Explanation / Answer

52 cards: 26 Red and 26 Black

26 Black: 13 Club and 13 Spade

26 Red: 13 Heart and 13 Diamond

Each individual of 13 cards: A, 2 - 10, J ,Q and K

1) The probability of getting 8 diamond:

Number of events of 8 in diamonds= 1

The probability of an event occuring= 1/52 = 0.019231

2) A spade or A club:

A spade= 13

A club = 13

The probability of event occuring= P(S) + P(C) =13/52+13/52= 26/ 52 = 0.5

3) A number smaller than 6?

Smaller than 6: 1,2,3,4,5

Each number from each group of crards= 4*5 = 20

THe probability of event occuring= 20/52 = 0.384615

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