Use the counting techniques from the last chapter A bag cont

Use the counting techniques from the last chapter. A bag contains four red marbles, two green ones, one fluorescent pink one, three yellow ones, and three orange ones. Suzan grabs five at random. Find the probability of the indicated event. She gets all the red ones, given that she gets the fluorescent pink one.

Solution

Given that she gets the fluorescent pink one, she needs to pick 4 more from remaining 12 marbles

Out of these 4 more, she can pick 4 red marbles in 4C4 ways.

Total number of ways of selecting 4 marbles from 12: 12C4

Probability of all red picked up = 4C4 / 12C4 = 1/495 = 0.00202