# SOLUTION: Suppose that you take all of the black cards out of a standard deck of 52 cards and thoroughly shuffle the remaining 26 red cards. From this deck of 26 red cards you will select 3

Algebra ->  Algebra  -> Probability-and-statistics -> SOLUTION: Suppose that you take all of the black cards out of a standard deck of 52 cards and thoroughly shuffle the remaining 26 red cards. From this deck of 26 red cards you will select 3       Log On

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 Click here to see ALL problems on Probability-and-statistics Question 129456: Suppose that you take all of the black cards out of a standard deck of 52 cards and thoroughly shuffle the remaining 26 red cards. From this deck of 26 red cards you will select 3 cards, one at a time, WITHOUT replacement, and record weather each card is picked is a face card (a jack, queen, or king), or not a face card. a.) What is the probability that none of the 3 cards picked in this way is a face card? b.) what is the probability that exactly one of the three cards picked is a face card? Answer by stanbon(57282)   (Show Source): You can put this solution on YOUR website!Suppose that you take all of the black cards out of a standard deck of 52 cards and thoroughly shuffle the remaining 26 red cards. From this deck of 26 red cards you will select 3 cards, one at a time, WITHOUT replacement, and record weather each card is picked is a face card (a jack, queen, or king), or not a face card. ------------- There are 6 face-cards in the half-deck. There are 20 non face-cards in the half-deck. ------------ a.) What is the probability that none of the 3 cards picked in this way is a face card? P(3 non face) = 20C3/26C3 = 1140/2600=0.43846... --------------- b.) what is the probability that exactly one of the three cards picked is a face card? P(picking one face card) = 6/26= 3/13 P(picking one face in picking three) = 3C1(3/13)(10/13)^2 = 0.4096... ------------------ Cheers, Stan H.