Problem 35P

Seven balls are randomly withdrawn from an urn that contains 12 red, 16 blue, and 18 green balls. Find the probability that

(a) 3 red, 2 blue, and 2 green balls are withdrawn;

(b) at least 2 red balls are withdrawn;

(c) all withdrawn balls are the same color;

(d) either exactly 3 red balls or exactly 3 blue balls are withdrawn.

Solution:

Step 1 of 5:

It is given that an urn contains 12 red balls, 16 blue balls and 18 green balls.

7 balls are randomly selected from the urn.

Using this we need to find the required probabilities.