Question

The number of possible outcomes in the sample space of an event defined as throwing two coins and a die together is .

Answer 1

There will be 4 possible outcomes if we throw two coins together in the form (p, q), where p is the outcome from the first coin and q is the outcome from the second coin.
(H, T), (H, H), (T, H), (T, T)

But all these outcomes are possible with 6 different outcomes of a die.

(H, T), (H, H), (T, H), (T, T) $\to$ 1

(H, T), (H, H), (T, H), (T, T) $\to$ 2

(H, T), (H, H), (T, H), (T, T) $\to$ 3

(H, T), (H, H), (T, H), (T, T) $\to$ 4

(H, T), (H, H), (T, H), (T, T) $\to$ 5

(H, T), (H, H), (T, H), (T, T) $\to$ 6

So, the total possible outcomes are 24.