Question

A basket contains 4 pink clips, 6 purple clips, and 5 white clips. Daisy picks one clip and records its color without replacing it and draws another. What is the probability of taking out a white clip followed by the purple clip?

Answer 1

Answer:

The probability of selecting a purple clip after a white clip without replacement is 1/7

Step-by-step explanation:

In this question, we are asked to calculate the probability of taking out a white clip followed by the purple clip without replacement.

First, let’s calculate the total number of clips; that is 4 + 6 + 5 = 15 clips .

Initially the probability of selecting a white clip would be 5/15 = 1/3

Now, removing the white clip and not replacing it means we are left with a total of 14 clips. the probability of selecting a purple clip here would thus be 6/14 = 3/7

Now the probability of selecting a white followed by a purple clip would be 1/3 * 3/7 = 1/7