SOLUTION: Five cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards is a club
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Question 1166377: Five cards are drawn from a standard deck without replacement. What is the probability that at least one of the cards is a club Answer by greenestamps(13200) (Show Source):
The opposite of "at least one card is a club" is "no cards are clubs". So the probability that at least one is a club is 1 minus the probability that none are clubs.
The probability that the first card drawn is not a club is 39/52;
the probability that the second is not a club is 38/51;
...
The probability that none of the five cards drawn is a club is
And then the probability that at least one is a club is 1 minus that number.
Use a calculator if you need to get a simplified answer.
