SOLUTION: An urn contains 8 white balls and 10 orange balls. If Sam chooses 12 balls at random from the urn, what is the probability that he will select 5 white balls and 7 orange balls

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Question 1113283: An urn contains 8 white balls and 10 orange balls. If Sam chooses 12 balls at random from the urn, what is the probability that he will select 5 white balls and 7 orange balls? Round your answer to 3 decimal places.
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


Probability = (number of favorable outcomes)/(total number of possible outcomes).

The favorable outcomes are choosing 5 of the 8 white balls and 7 of the 10 orange balls. The number of ways to do that is C%288%2C5%29%2AC%2810%2C7%29.

The total number of possible outcomes is choosing 12 of the 18 balls: C%2818%2C12%29.

P+=+%28C%288%2C5%29%2AC%2810%2C7%29%29%2FC%2818%2C12%29

Use a calculator; and round as directed....