Stanley conducts a simulation in which he spins two spinners and then rolls a fair die. The three sections on the first spinner are labeled with 7, 8, and 9, and the two sections on the second spinner are labeled with A and B. How many possible outcomes are there for this simulation?
11
6
30
36

Question

Stanley conducts a simulation in which he spins two spinners and then rolls a fair die. The three sections on the first spinner are labeled with 7, 8, and 9, and the two sections on the second spinner are labeled with A and B. How many possible outcomes are there for this simulation?
11
6
30
36

kropot72 · Answer

There are 3 possible outcomes on the first spinner, 2 possible outcomes on the second spinner and 6 possible outcomes on the fair die.
Each of the 2 outcomes on the second spinner can combine with each of the 6 outcomes on the die making a total of 2 * 6 possible outcomes for the pair.
Each of the 3 outcomes on the first spinner can combine with each of the 2 * 6 possible outcomes on the combination of the second spinner and the die.
Therefore the total number of possible outcomes for the simulation is:
$$3\times 2\times 6$$