Question

a game spinner has regions that are numbered 1 through 8. if the spinner is used twice, what is the probability that the first number is a 3 and the second is a 7?

Answer 1

These are both independent events because 1 spin does not effect the other.

P(1st spin is 3) = 1/8
P(2nd spin is 7) = 1/8

P(both) = 1/8 * 1/8 = 1/64

Answer 2

Each number on the spinner has an equally likely chance of being selected, 1/8. For this type of problem you multiply the probabilities.
P(3) = 1/8
P(7) = 1/8
(1/8) * (1/8) = 1/64