Chapter 10.8, Problem 12IP

To determine

The probability that he rolls a 1 and the quarter lands head up.

Answer to Problem 12IP

The probability value is $\frac{1}{2}$

Explanation of Solution

Given information:

Kane rolls the number cube and flips a quarter at the same time. It is rolled at 1 and the quarter lands heads up.

Formula Used:

  $\text{P=}\frac{\text{No}\text{.}\text{of}\text{favorable}\text{outcomes}}{\text{No}\text{.}\text{of}\text{possible}\text{outcomes}}$

Calculation:

The Fundamental Counting Principle is used to find the number of possible outcomes. There are 6 choices for a number cube and 2 choices for a quarter.

  $6\times 2=12$

There are 12 possible outcomes.

The probability is determined as follows,

There is one way to roll a 1 and flip a head. So, the probability is $\frac{1}{2}$

Conclusion:

The probability value is $\frac{1}{2}$