Question

Mathew rolls a number cube labeled with the numbers $1$ to $6$.

He then flips a fair coin.

What is the probability that he rolls a $4$ and flips a head?

Answer 1

Finding the probability when rolls are $4$ and flips a head

Total number of outcomes in a cube $=6$

Number of label $4$ on a cube $=1$

Finding the probability for rolling

We know that probability $=\frac{numberoffavorableoutcomes}{totalnumberofoutcomes}$

The probability of rolling $4$ $=\frac{1}{6}$

Finding probability of flipping :

Now, total number of faces in a coin $=2$

Number of heads in a coin $=1$

Therefore, probability of flipping head $=\frac{1}{2}$

Thus, the probability that he rolls a $4$ and flips a head $=\frac{1}{6}\times \frac{1}{2}=\frac{1}{12}$