SOLUTION: Find the probability of getting four face cards (king, queen, or jack) when 4 cards are drawn from a deck without replacement. Enter answer as a fraction.
Algebra ->
Probability-and-statistics
-> SOLUTION: Find the probability of getting four face cards (king, queen, or jack) when 4 cards are drawn from a deck without replacement. Enter answer as a fraction.
Log On
Question 1081712: Find the probability of getting four face cards (king, queen, or jack) when 4 cards are drawn from a deck without replacement. Enter answer as a fraction. Found 2 solutions by Fombitz, math_helper:Answer by Fombitz(32388) (Show Source):
You can put this solution on YOUR website!
There are initially 12 face cards in the deck.
We are interested in the case that we draw 4 consecutive face cards on a draw of 4 cards. That means the first one has a probability of 12/52 of being drawn, that would leave 11 face cards among the remaining 51 cards, etc. Similar logic applies to the remaining draws.
—
P(4 face cards drawn) = (12/52)*(11/51)*(10/50)*(9/49)
which reduces to (3/13)*(11/51)*(1/5)*(9/49) = 297 / 162435 =
