SOLUTION: a bag contains 5 real diamonds and 7 fake diamonds. If 5 diamonds are picked from the bag at random, what is the probability that at least 2 of them are real?

Question 1154056: a bag contains 5 real diamonds and 7 fake diamonds. If 5 diamonds are picked from the bag at random, what is the probability that at least 2 of them are real?
Answer by Shin123(626) (Show Source): You can put this solution on YOUR website!
There are that 5 diamonds can be picked. Instead of finding the probability that at least 2 diamonds are real, we can instead count the probability that 0 or 1 diamond is real and subtract from 1 to get the answer. The number of ways that all the diamonds picked are fake is . There are ways to pick one real diamond. So the number of ways that at least 2 diamonds are real is . So there is a or approximately 75.25% chance that at least 2 diamonds are real.
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