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
Algebra.Com
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): You can put this solution on YOUR website!
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.
RELATED QUESTIONS
If five cards are drawn from a deck of cards without replacement what is the probability... (answered by lynnlo)
6 cards are drawn from a standard deck without replacement. What is the probability that (answered by stanbon)
If six cards are drawn from a deck of cards without replacement, what is the probability... (answered by Boreal,ikleyn)
4 cards are drawn from a standard deck without replacement. What is the probability that (answered by greenestamps)
5 cards are drawn from a standard deck without replacement. What is the probability that (answered by Boreal)
From a standard deck of cards, first two cards are drawn from the deck without... (answered by ewatrrr)
In a standard deck of 52 playing cards, two cards are known: the 2 of hearts, and the 2... (answered by greenestamps)
Three cards are dealt from a standard deck of fifty-two cards (without replacement); the... (answered by Edwin McCravy,greenestamps)
Five cards are drawn without replacement from a standard 52 card deck. Find the... (answered by stanbon)