If you roll a 6-sided die 96 times, what is the best prediction possible for the number of times you will roll a one?
well, P(1) = 1/6, so ...
To find the best prediction for the number of times you will roll a one when rolling a 6-sided die 96 times, you can use the concept of probability.
In this case, the die has 6 equally likely outcomes (numbers 1 through 6). Since all outcomes are equally likely, we can assume that the probability of rolling a one on any given roll is 1/6.
To find the expected number of ones rolled, you can multiply the probability of rolling a one (1/6) by the number of times you roll the die (96):
Expected number of ones = Probability of rolling a one × Number of rolls
= (1/6) × 96
= 16
Therefore, the best prediction possible for the number of times you will roll a one when rolling a 6-sided die 96 times is 16.