Chapter 10.6, Problem 1GP

To determine

To calculate: the probability of the outcome of spinner and describe the likelihood.

Answer to Problem 1GP

Probability of getting 6 that is $P\left(6\right)=\underset{\_}{\frac{1}{10}}$ and event is unlikely to occur.

Explanation of Solution

Given information:

1. Spinner is spun once.
2. Spinner is divided into 10 equal sectors
3. Need to determine the outcome of getting 6 .
4. Associated figure is as follows

  

Formula Used:

  $\text{probablity}\text{of}\text{an}\text{event=}\frac{\text{number}\text{of}\text{favorable}\text{outcomes}}{\text{number}\text{of}\text{possible}\text{outcomes}}$

Calculation:

Number of possible outcomes of spinner $=10$

Need to determine probability of getting 6 that is of possible $P\left(6\right)$ .

As favorable outcome is 6 , number of favorable out come = 1

Using formula $\text{probablity}\text{of}\text{an}\text{event=}\frac{\text{number}\text{of}\text{favorable}\text{outcomes}}{\text{number}\text{of}\text{possible}\text{outcomes}}$

  $P\left(6\right)=\frac{1}{10}$

As $\frac{1}{10}$ is equal to $10\%$ that is between $0\%$ and $25\%$ , the event of getting 6 is unlikely to occur.

Hence probability of getting 6 that is $P\left(6\right)=\underset{\_}{\frac{1}{10}}$ and event is unlikely to occur.