SOLUTION: a hand of 7 cards are dealt from a well shuffled deck of 52 cards. find the probability that the hand contains at least 2 black cards. Please show all work.
Algebra ->
Probability-and-statistics
-> SOLUTION: a hand of 7 cards are dealt from a well shuffled deck of 52 cards. find the probability that the hand contains at least 2 black cards. Please show all work.
Log On
Question 806481: a hand of 7 cards are dealt from a well shuffled deck of 52 cards. find the probability that the hand contains at least 2 black cards. Please show all work. Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website! a hand of 7 cards are dealt from a well shuffled deck of 52 cards. find the probability that the hand contains at least 2 black cards. Please show all work.
-----
# of 7-card hands:: 52C7
----
# of 7-card hands with no black cards: 26C7
# of 7-card hands with one black card: 26C1*26C6
--------
P(7-card hand with >= 2 black cards) = 1 - [26C7 + 26C1*26C6]/52C7
----
= 0.9503
===============
Cheers,
Stan H.
(