Question

Jeremy is going to roll a fair 6 -sided die 180 times. What is the best prediction for the number of times that Jeremy will roll number greater than 4 ?

Answer 1

Since the die is fair, each of the six numbers has an equal probability of appearing. The probability of rolling a number greater than 4 (i.e., 5 or 6) on a single roll is 2/6 or 1/3.

To find the best prediction for the number of times that Jeremy will roll a number greater than 4 in 180 rolls, we can use the expected value formula:

Expected value = Number of trials * Probability of success

In this case, the number of trials is 180 and the probability of success is 1/3. Therefore, the expected value is:

Expected value = 180 * 1/3 = 60

So the best prediction for the number of times that Jeremy will roll a number greater than 4 is 60.