SOLUTION: Drawing 3 cards from a suit of 13 cards, 1 a) probability that all three cards are not face cards without replacement b) probability that all three cards are not face cards wit

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Question 358711: Drawing 3 cards from a suit of 13 cards,
1 a) probability that all three cards are not face cards without replacement
b) probability that all three cards are not face cards with replacement
Draw 3 cards from a deck of 52 cards,
2 a) probability of all three cards being red without replacement
b) probability of all three cards being red with replacement.
please show me the calculations. My teacher said I got them wrong but I don't know why.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Drawing 3 cards from a suit of 13 cards,
1 a) probability that all three cards are not face cards without replacement
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P(no face of 3) = 10C3/13C3 = 0.4196
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b) probability that all three cards are not face cards with replacement
P(no face of 3) = (10/13)^3 = 0.4552
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Draw 3 cards from a deck of 52 cards,
2 a) probability of all three cards being red without replacement
P(3 red) = 26C3/52C3 = 0.1176
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b) probability of all three cards being red with replacement.
P(3 red) = (26/52)^3 = 0.125
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please show me the calculations.
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Cheers,
stan H.