Question

A bag contains five batteries, all of which are the same size and are equally likely to be selected. Each battery is a different brand. If you select two batteries at random, use the countingprinciple to determine how many points will be in the sample space if the batteries are selecteda) with replacementb) without replacement.a) With replacementThe size of the sample space is sample points.

Answer 1

Given:

The number of batteries=5

The random sample is of selecting 2 batteries.

The sample points in sample space if batteries are selected with replacement is,

$5\cdot5=25$

And

The sample points in sample space if batteries are selected without replacement is,

$5\cdot4=20$

Answer:

The points will be in the sample space if the batteries are selected

a) with replacement=25

b) without replacement=20