SOLUTION: You draw 5 cards from a standard deck (52 cards) without repetition. Find the probability of drawing at least 4 hearts, including the king of hearts.

Question 1029765: You draw 5 cards from a standard deck (52 cards) without repetition. Find the probability of drawing at least 4 hearts, including the king of hearts.
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
There are 5 possible ways of drawing 4 hearts, 1 non-heart
HHHHN
HHHNH
HHNHH
HNHHH
NHHHH
Within each of those there are 4 possible positions for the king of hearts so there are 20 (5*4) ways of drawing 4 hearts, one being the king of hearts.
The probability of each outcome is the same,
Let's work it out for KHHHN.

There is one possible way of drawing 5 hearts but then there are 5 positions for the king of hearts.

So then putting it all together,

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