SOLUTION: An urn contains 8 orange balls and 4 green balls. If Vince chooses 5 balls at random from the urn, what is the probability that he will select 3 orange balls and 3 green balls? Rou

Algebra.Com
Question 1201698: An urn contains 8 orange balls and 4 green balls. If Vince chooses 5 balls at random from the urn, what is the probability that he will select 3 orange balls and 3 green balls? Round your answer to 3 decimal places.
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


ANSWER: 0

He can't get 3 orange balls and 3 green balls if he chooses only 5 balls from the bag....

To set up the problem for solving, I will assume that he picked 6 balls from the bag instead of 5.

The possible outcomes are all the ways he can choose 6 of the 12 balls.

The good outcomes are the ways he can choose 3 of the 8 orange balls and 3 green balls.
                                       C(8,3) * C(4,3)
  P(3 of 8 orange AND 3 of 4 green) = -----------------
                                           C(12,6)

Use a calculator; and round the answer as directed....
RELATED QUESTIONS

An urn contains 5 red balls and 8 yellow balls. If Vince chooses 10 balls at random from... (answered by Theo)
An urn contains green balls and red balls. If Tim chooses balls at random from the... (answered by stanbon)
An urn contains 8 white balls and 10 orange balls. If Sam chooses 12 balls at random... (answered by greenestamps)
An urn contains 10 red balls and 7 yellow balls. If Vince chooses 7 balls at random from... (answered by ewatrrr)
An urn contains yellow balls and red balls. If Frank chooses balls at random from the... (answered by lynnlo)
An urn contains red balls and white balls. If Tim chooses balls at random from the... (answered by jim_thompson5910,greenestamps)
An urn contains 4 red balls, 2 green balls, and 4 blue balls. If 10 balls are selected at (answered by VFBundy)
Urn 1 contains 6 red balls and 5 black balls. Urn 2 contains 3 red balls and 3 black... (answered by Boreal)
An urn contains 9 red balls and 6 yellow balls. If Tim chooses 6 balls at random from the (answered by Edwin McCravy)