Probability – Problem 3

The number of all possible outcomes is 6 since a die has six faces, each face showing one of the numbers from 1 to 6, that is:

First possible outcome: the number 1 is turning up

Second possible outcome: the number 2 is turning up

Third possible outcome: the number 3 is turning up

Fourth possible outcome: the number 4 is turning up

Fifth possible outcome: the number 5 is turning up

Sixth possible outcome: the number 6 is turning up

The number of outcomes favorable to the number 5 turning up is 1.
$\therefore$ Applying formula: \[ P_{\text{Number 5}} = \frac{\text{Number of Outcomes Favorable to the Number 5 Turning Up}}{\text{Number of all Possible Outcomes}} \] \[ P_{\text{Number 5}} = \frac{1}{6} \] \[ P_{\text{Number 5}} = 16.67\% \leftarrow \text{answer} \]