as part of a math lesson on probability, mr. keen rolled a standard die 30 times. he predicted the die would…

as part of a math lesson on probability, mr. keen rolled a standard die 30 times. he predicted the die would land on three 5 times. he actually rolled a three 8 times. what is the percent error for his prediction? if necessary, round your answer to the nearest tenth of a percent. %

as part of a math lesson on probability, mr. keen rolled a standard die 30 times. he predicted the die would land on three 5 times. he actually rolled a three 8 times. what is the percent error for his prediction? if necessary, round your answer to the nearest tenth of a percent. %

Answer

Explanation:

Step1: Find Predicted and Actual Values

Predicted number of times (P) = 5, Actual number of times (A) = 8, Total trials (T) = 30.
First, find the predicted probability: $P_{predicted} = \frac{5}{30}$, actual probability: $P_{actual} = \frac{8}{30}$.

Step2: Calculate Percent Error

Percent Error formula: $\text{Percent Error} = \left| \frac{\text{Predicted} - \text{Actual}}{\text{Actual}} \right| \times 100%$
Substitute values: $\left| \frac{5 - 8}{8} \right| \times 100% = \left| \frac{-3}{8} \right| \times 100% = \frac{3}{8} \times 100% = 37.5%$

Answer:

37.5%