Question

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?

Answer 1

The percent error of Mr. Keen's prediction that a die would land on three 5 times out of 30 rolls, when it actually landed 8 times, can be calculated to be 60%.

Step-by-step explanation:

Mr. Keen rolled a standard die, which has six sides, predicting it would land on a three 5 times out of 30 rolls. He rolled a three 8 times. To calculate the percent error for his prediction, we must first determine the difference between the observed value and the predicted value, which is 8 - 5 = 3. After that, we divide this difference by the predicted value and multiply by 100 to get the percent error:

Percent Error = (|Observed Value - Predicted Value| / Predicted Value) x 100

Percent Error = |8 - 5| / 5 x 100

Percent Error = 3 / 5 x 100

Percent Error = 0.6 x 100

Percent Error = 60%

The percent error for Mr. Keen's prediction is 60%.

Answer 2

its 37.5%

Step-by-step explanation: