Question

R

O 0.05
O 0.5
O 0.20
0.12
to the nearest hundredth.
A die was rolled 60 times. It landed on one-11 times, two-9 times, four-12 times, five-12 times, and six-8 times. What is the empirical probability of rolling a 5?

Answer 1

The empirical probability of rolling a 5 is the number of times a 5 was rolled divided by the total number of rolls. In this case, it is 12/60, which equals 0.20 or 20%.

Step-by-step explanation:

The empirical probability of rolling a 5 on a six-sided die, if it landed on five 12 times after 60 rolls, is calculated by dividing the number of times the die landed on five by the total number of rolls.

To find this probability, use the formula empirical probability = (frequency of the event) / (total number of trials).

In this case, the die landed on five 12 times out of 60 rolls. Therefore, the empirical probability of rolling a five is:

P(5) = 12 / 60 = 0.20 or 20%

When expressed as a decimal, 0.20 to the nearest hundredth is just 0.20 itself because there are no additional decimal places beyond the hundredths place.

Hence, the empirical probability of rolling a five on this die based on the 60 trials is 0.20 or 20%.