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

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(75887) (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.
RELATED QUESTIONS
Suppose that you take all of the black cards out of a standard deck of 52 cards and... (answered by Edwin McCravy)

Suppose that you take all of the black cards out of a standard deck of 52 cards and... (answered by toidayma)

I am solving this problem: Suppose that you take all of the black cards out of a... (answered by stanbon)

You shuffle a standard deck of 52 cards. What is the probability that the top card is a... (answered by Boreal)

What is the probability of drawing three black cards in a row out of standard deck of 52... (answered by Edwin McCravy)

suppose 4 cards are drawn from a well shuffeld deck of 52 cards what is the probability... (answered by Boreal)

Suppose that two cards are selected at random from a standard 52 card deck. What is the... (answered by stanbon,scott8148,solver91311)

please help solve: I have a deck of 52 cards. All red cards have been removed from the... (answered by stanbon)