SOLUTION: 6 cards are randomly drawn from a standard deck of 52 cards. What is the probability that the 6-card hand will include at least one heart?

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Question 957821: 6 cards are randomly drawn from a standard deck of 52 cards. What is the probability that the 6-card hand will include at least one heart?
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Let's find the probability it contains no hearts.
Then the complement is the probability you're looking for.
P%28NH%29=3%2F4
So for 6 cards,
P%286NH%29=%283%2F4%29%5E6
P%286NH%29=729%2F4096
So then,
P=1-729%2F4096
P=4096%2F4096-729%2F4096
P=3367%2F4096