SOLUTION: Three cards are randomly selected from a deck of 52 cards. After every draw, the card is NOT replaced back in the deck. Find the probability of drawing a King, followed by an Ace,

Question 1144943: Three cards are randomly selected from a deck of 52 cards. After every draw, the card is NOT replaced back in the deck. Find the probability of drawing a King, followed by an Ace, followed by a Queen.
Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
Find the probability of drawing a King, followed by an Ace, followed by a Queen.

The probability of drawing a King from a 52-card deck is 4 Kings out of 52
cards.
That's 4/52 which reduces to 1/13.
Since we don't replace the King, we now have a 51-card deck.
 
The probability of drawing an Ace second from a 51-card deck is 4 Aces out of 51
cards.
That's 4/51 which doesn't reduce.
Since we don't replace the Ace, we now have a 50-card deck.

The probability of drawing a Queen third from a 50-card deck is 4 Queens out of
50 cards.
That's 4/50 which reduces to 2/25.

So the answer is (1/13)(4/51)(2/25) = 8/16575 which is approximately 0.0005.
(Not very likely!!)

Edwin

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