Question

a bag contains six 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 counting principle to determine how many points will be in the sample space if the batteries are selected

Answer 1

With replacement and without replacement

Answer 2

If the batteries are selected with replacement, there are 6 ways of selecting the first battery and there are also 6 ways of selecting the second battery. Therefore there are
6 * 6 = 36 possible outcomes.
If the batteries are selected without replacement, there are 6 ways of selecting the first battery and there are 5 ways of selecting the second battery. Therefore there are
6 * 5 = 30 possible outcomes.