Question

A standard French deck of playing cards has 52 cards, of which, 13are clubs, 13 are...

A standard French deck of playing cards has 52 cards, of which, 13are clubs, 13 are diamonds, 13 are hearts, and 13 are spades. A poker hand consists of 5 cards drawn from a standard deck. A bridge handconsists of 13 cards drawn from a standard deck.

(a) How many poker hands will contain 2 clubs, 1 diamond, and 2hearts?

(b) How many bridge hands will contain 6 diamonds and 7 spades?

(c) How many bridge hands will contain 5 clubs, 3 diamonds, 2 hearts, and 2 spades?

(d) How many bridge hands will contain all spades?

(e) How many bridge hands will cards all of the same suit?

Math   Statistics-And-Probability   
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Answer #1

a) Total poker hands that will contain 2 clubs, 1 diamond, and 2hearts=

b) Total bridge hands that will contain 6 diamonds and 7 spades =

c) Total bridge hands that will contain 5 clubs, 3 diamonds, 2 hearts, and 2 spades

There is a total of 12 cards mentioned, the 1 card remaining can be selected from the 40 cards remaining

d) there are a total of 13 cards in bridge hand and 13 cards of spade hence there is only 1-way

e) There is a total of 4 suits hence there is a total of 4 bridge hands of the same suit

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