Chapter 13.5, Problem 2ACYP

To determine

Find the probability that coin lands heads up and the number rolled is a $6$ .

Answer to Problem 2ACYP

  $\frac{1}{12}$

Explanation of Solution

Given information:

A coin is tossed and a die is rolled.

Calculation:

The die an unbiased six sided and the coin is two sided with head and tail. So the outcome of one does not affect the other.

  $\begin{array}{l}P\left(coinanbdie\right)=P\left(coin\right)\cdot P\left(die\right)\\ =\frac{1}{2}\times \frac{1}{6}=\frac{1}{12}\end{array}$

Hence, the probability that coin lands heads up and the number rolled is a $6$ is $\frac{1}{12}$ .