Question

You are running an experiment in class where you draw colored marbles out of a bag. There are

eight marbles in the bag, you will draw five times, and you will replace the marble each time. How many ways can you draw the marbles out of the bag?

A: 40

B: 3,360

C: 4,096

D: 32,768

Answer 1

32768 ways

Explanation:

Given

Marbles = 8 marbles

Selection = 5 (with replacement)

Required

Determine the number of ways

Because it is a selection with replacement; each selection is as follows:

`First = 8\ marbles`

`Second = 8\ marbles`

`Third= 8\ marbles`

`Fourth = 8\ marbles`

`Fifth = 8\ marbles`

Total number of ways is then calculated as:

`Total = 8 * 8 * 8 * 8 * 8`

`Total = 32768`