How many outcomes are there in the sample space of an event defined as "throwing two dice and a coin together"

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Solution

There will be 36 outcomes possible if we throw two dice together in the form (p,q) where p is the outcome from first dice and q is the outcome from 2nd dice
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6)
.

.
.
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6)
But all this outcomes are possible with two different outcomes of coin
Such that
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (Heads)
.
.
.
.
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6), (Heads)
And
(1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (Tails)
.
.
.
.
(6,1), (6,2), (6,3), (6,4), (6,5), (6,6), (Tails)
So, there are total 72 outcomes possible for this experiment.

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