Question

g A slot machine has three slots; each will show a cherry, a lemon, a star, or a bar when spun. The player wins if all three slots show the same three items. a. How many simple events are in the sample space

Answer 1

64

Explanation:

Let us consider E_abc to be the event that a, b and c appear on the first, second and third slot of the spin machine.

Now, we are told that each slot has 4 possibilities which are a cherry, a lemon, a star, or a bar when spun.

Thus, from mn rule in probability, the total number of simple events in the sample space is = 4³ = 64