SOLUTION: You are dealt three cards without replacement from a shuffled deck of 52 playing cards. (a)Find the probability of getting three red cards. (b)Find the probability of getting th

Algebra ->  Probability-and-statistics -> SOLUTION: You are dealt three cards without replacement from a shuffled deck of 52 playing cards. (a)Find the probability of getting three red cards. (b)Find the probability of getting th      Log On


   



Question 658462: You are dealt three cards without replacement from a shuffled deck of 52
playing cards.
(a)Find the probability of getting three red cards.
(b)Find the probability of getting three cards with the same
color.
(c)Find the probability of getting three cards such that they are
not all the same color.
(d)Find the probability of getting at least one face card.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
You are dealt three cards without replacement from a shuffled deck of 52
playing cards.
(a)Find the probability of getting three red cards.
Ans: 26C3/52C3
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(b)Find the probability of getting three cards with the same
color.
Ans: 2[26C3/52C3]
========================
(c)Find the probability of getting three cards such that they are
not all the same color.
Ans: 1 - P(they are all the same color) = 1 - answer to (b)
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(d)Find the probability of getting at least one face card.
Ans: 1 - P(getting no face card) = 1 - [40C3/52C3]
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Cheers,
Stan H.