Question

I first don't understand what experimental data is and what experimental probability is (this data will help answer the question) would you be able to explain to me what it is?

Answer 1

a. 12.5%

b. 60 times

c. 16.67%

d. The theoretical is an ideal event, in reality there are many more factors that affect the probability of an event.

Explanation:

a. The experimental probability is the one obtained through the 360 attempts, therefore, the probability of rolling a 3 is 45 divided by 360. Just like this:

`p_e=(45)/(360)=(1)/(8)=0.125=12.5\%`

The experimental probability is 1/8

b.

Starting from the previous probability we can calculate the number of times that 3 would land if it is thrown 480 times (120 more times)

`r=480\cdot(1)/(8)=60`

I would land a 3 total of 60 times

c.

The theoretical probability would be the number of times the 3 appears on a die (1) divided by the total number of faces on a die (6)

`p_t=(1)/(6)=0.1667=16.67\%`

d.

The results of an experiment do not always agree with the theoretical results, but they become closer after a large number of attempts. This is because the theoretical probability is an ideal event, while the experimental probability has many more nuances to consider and is totally reality.