Question

A coin is tossed, then a die is rolled, and the results are recorded. The number of possible outcomes for this event is

Answer 1

The number of possible outcomes are 12.

Explanation:

We are given that,

The events occur in the sequence that first a coin is tossed and then a die is rolled.

It is required to find the possible total number of outcomes.

Since, we know,

The number of outcomes after tossing a coin = 2 i.e. {Heads(H), Tails(T)}

The number of outcomes after rolling a die = 6 i.e. {1,2,3,4,5,6}

Then, we get,

The possible outcomes after tossing a coin and then rolling die = 2 × 6 = 12 i.e. {H1,...,H6,T1,....,T6}

Hence, the number of possible outcomes are 12.

Answer 2

The number of possible outcomes for a coin is 2.

The number of possible outcomes for a die is 6.

The number of possible outcomes for a coin and a die is 2×6 = 12.