Question

Using a fair coin and a number cube with faces numbered 1 through 6, what is the probability of getting heads and rolling a 5?

Answer 1

Step-by-step explanation:

Use Multiplication Principle with states that if a event can occur n ways, and another mutually exclusive event occur p ways, then the total outcome is

$n \times p$

The possible ways of rolling a dice is 6 and the possible ways of flipping a coin is 2 so we have

$6 \times 2 = 12$

Now, we use the fact that proabliblity is

Number of favorable outcomes/ Total outcomes.

We can only get a head and a 5 once out of the set so the number of favorable outcomes is 1. Total outcomes is 12 so we have

$\frac{1}{12}$

A is the answer.