Question

Julia made a die for a game. It had 5 faces, labeled 1-5. Because of the shape of the die, it was biased in favor of rolling a 3. We do not know the amount of bias. She experimented to estimate how likely it was for a 3 to be rolled and her results are in the above table. Using her experimental results, find the best estimate of the probability of rolling a 3.

Answer 1

From the table, we see that Julia rolled the die 100 times, and the number of times she rolled a 3 was 45.

The best estimate of the probability of rolling a 3 can be found by dividing the number of times a 3 was rolled by the total number of rolls:

P(rolling a 3) = Number of times 3 was rolled / Total number of rolls

P(rolling a 3) = 45 / 100

P(rolling a 3) = 0.45 or 45%

Therefore, based on Julia's experimental results, the best estimate of the probability of rolling a 3 on her biased die is 0.45 or 45%.