please show me the steps that you use to solve the problem. you can also use the comment field to explain the work.

Question

QUESTION:
1. what is the probability of selecting a red marble, replacing it, and then selecting a blue marble? show work
2. what is the probability of selecting a red marble, setting it aside, and then selecting a blue marble? show your work
3. are the answers to parts (a) and (b) the same? why or why not?

KEY:
4 red marbles
7 blue marbles
5 green marbles

Answer 1

4 red out of a total of 16

4/16 of a red

You replace the red so you still have 16

7/16 chance of a blue

AND means both events have to happen to you multiply the two fractions.

2) there is no replacement.

Getting the same is the same as in #1 But... getting the blue is now 7/15 because we did not replace the marble,

Multiple 4/16 times 7/15

The answers are not the same because in the first question there was replacement and in the second question there was no replacement.