Chapter 10.6, Problem 4GP

To determine

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

Answer to Problem 4GP

Probability of getting number less than 5 that is $P\left(\text{less than}\text{5}\right)=\underset{\_}{\frac{2}{5}}$ 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 number less than 5.
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 number less than 5 that is $P\left(\text{less than}\text{5}\right)$ .

As favorable outcomes are numbers less than 5 that are 1 , 2 , 3 and 4 , number of favorable out come = 4

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

  $P\left(\text{less than}\text{5}\right)=\frac{4}{10}=\frac{2}{5}$

As $\frac{2}{5}$ is equal to $40\%$ , the event of getting number less than 5 is unlikely to happen .

Hence probability of getting number less than 5 that is $P\left(\text{less than}\text{5}\right)=\underset{\_}{\frac{2}{5}}$ and event is unlikely to occur.