An urn contains 6 green balls and 9 white balls A sample of

An urn contains 6 green balls and 9 white balls. A sample of 4 balls is selected at random from the urn. Find the probability that the sample contains more green balls than white balls.

Solution

Urn #2 contains 4 green and 6 white balls, Urn #1 contains 3 green and 3 white balls. If a ball is selected at random from each urn, what is the probability that the balls will be the same color?

let take green from urn1 and urn2 + white from urn1 an urn 2

4/10 * 3/6 + 6/10*3/6

= 2/10 + 3/10

= 5/10

= 1/2

= 50 % probability