Question

How many different outcomes arise from first tossing a coin and then rolling a die ?

Answer 1

There are 2 possibilities (i.e., head or tail) for the first task ( tossing a coin) and after each of these outcomes there are 6 possibilities (i.e., any number from 1 to 6 ) for the second task ( rolling a dice ). Thus, by the product rule, there are $2\times 6=12$ possible outcomes, for the given compound task.