Chapter 13.6, Problem 27STP

To determine

To calculate: To find how many times L should expect spinner to land on the space with a triangle

Answer to Problem 27STP

Spinner is expected to land $100$ times on a triangle

Explanation of Solution

Given information: L spins a spinner as shown below $400$ times

  

Formula Used:

Probability is defined as the likelihood of an event.

Probability is calculated as

  $\mathrm{Probability}=\frac{Event}{Outcomes}$

Calculation:

Given that L spins a spinner as shown below:

  

Probability of spinner landing on a triangle is $\frac{1}{4}$

Given that spinner is spun for $400$ times

Thus, number of times spinner is expected to land on triangle is calculated as follow:

  $\begin{array}{l}Number=\frac{1}{4}\times 400\\ Number=100\end{array}$

Conclusion:

Hence, spinner is expected to land $100$ times on a triangle