Question

You roll a die and flip three coins. The number of possible outcomes in the sample space is.

Answer 1

48

Explanation:

We assume that the die and coins are non-bias.

If you roll a die once, you have 6 possible outcomes (anything from 1-6).

If you flip 3 coins once, you have 2 possible outcomes for each coin (either heads or tails). Multiply those 3 possibilities (2x2x2), you get 8.

Multiply 8 with 6, and you get 48 possible outcomes in sample space.

*In the sample space shown below, do the same combinations to all roll die outcomes to get the whole sample space (i.e., 2TTT, 3TTT, 4TTT etc.).