Answer:
48
Step-by-step 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.).
