Question

From a deck of cards with 4 suits of thirteen cards each, two red and two...

From a deck of cards with 4 suits of thirteen cards each, two red and two black, you choose 10 cards randomly

What is p, the probability of choosing a red suit on card any single card draw?

What is the probability of getting exactly 5 red of the 10 drawn?

What is the probability of getting exactly 2 red of the 10 drawn?

If one of the four suits is diamonds, what is the probability, pdia , of drawing a diamond on a single draw?

What is the probability of getting exactly 5 diamonds of the 10 drawn?

What is the probability of getting exactly 2 diamonds of the 10 drawn?

Math   Statistics-And-Probability   
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Homework Answers

Answer #1

There are 26 red cards out of 52 cards so the probability of choosing a red suit on card any single card draw is

P(red) = 26 /52 = 1/2 = 0.50

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Total number of ways of selecting 10 cards out of 52 is C(52,10).

Number of ways of selecting 5 red and 5 black cards is C(26,5)*C(26,5)

The probability of getting exactly 5 red of the 10 drawn is

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Number of ways of selecting 2 red and 8 black cards is C(26,2)*C(26,8)

The probability of getting exactly 2 red of the 10 drawn is

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Out of 52 cards, 13 are diamond so

pdia = 13 /52 = 0.25

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Number of ways of selecting 5 diamond and 5 other cards is C(13,5)*C(39,5)

The probability of getting exactly 5 diamonds of the 10 drawn is

Number of ways of selecting 2 diamond and 8 other cards is C(13,2)*C(39,8)

The probability of getting exactly 2 diamonds of the 10 drawn is

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