Question

The diagram below shows the contents of a jar from which you select marbles at random.

a. What is the probability of selecting a red marble, replacing it, and then selecting a blue marble? Show your work.
b. What is the probability of selecting a red marble, setting it aside, and then selecting a blue marble? Show your work.
c. Are the answers to parts (a) and (b) the same? Why or why not?

Answer 1

a.

`(4)/(13) * (8)/(13) = (32)/(169)`
b.

`(4)/(13) * (8)/(12) = (32)/(156) = (8)/(39)`
c. no because on a you replace the marble and the denometers are the same and on b you put it aside which decreases the denometer by one