Question

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

She gets one of each color other than fluorescent pink, given that she gets the fluorescent pink one.

Answer 1

Sujan has grabbed four marbles. She can choose four out of total of five different marbles, i.e. any four out of red, green, yellow, orange and fluorescent pink.

Question is saying that she gets one of each color other than fluorescent pink, i.e. she get 4 marbles each from rd, yellow, green and orange.

So, she can take a maximum of 4 marbles and she has taken marbles of yellow, orange, red and green color, now she can't take any more marble

So, it is clear that when she take four marbles(one of each color other than fluorescent pink) then there is no way to get the fluorescent pink marble

This means that it is not possible to take four marbles(one of each color other than fluorescent pink) then to get the fluorescent pink marble

So, the probability will be zero

Required probability = 0 because the event is not possible