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option A:12.

Explanation:

Since, rolling a die and tossing a coin are independent events, the sample space of both events is the product of the outcomes for each event, i.e 6 × 2 = 12.

You can check that here:

             roll a die             toss a coin
                  1                        head
                  1                        tail
                  2                        head
                  2                        tail
                  3                        head
                  3                        tail
                  4                        head
                  4                        tail
                  5                        head
                  5                        tail
                  6                        head
                  6                        tail

So, as you see for each outcome of the event roll a die there are two different possible different outcomes for the event toss a coin; since there are 6 different outcomes for the die, the total number of possibilities is 6 × 2 = 12