Question

A box full of multi-color paper clips contains 5 red clips, 3 blue clips, 3 green clips and 4 pink clips. What is theprobability that Ms. Willms randomly selects a blue paper clip, returns it, and then Mrs. Potts randomly selects apink paper clip?

Answer 1

The total amount of clips in the box, is:

`5+3+3+4=15`

Since there are 3 blue clips, the probability of picking a blue clip, is:

`(3)/(15)=(1)/(5)`

Since there are 4 pink clips, the probability of picking a pink clip, is:

`(4)/(15)`

The probability of both events happening one after another will be the product of the individual probabilities of each event. Then, the probability of picking a blue clip and then picking a pink clip, is:

`(1)/(5)*(4)/(15)=(4)/(5*15)=(4)/(75)`

Therefore, the answer is:

`(4)/(75)`