ANSWER:
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.
STEP-BY-STEP 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:
[tex]p_e=\frac{45}{360}=\frac{1}{8}=0.125=12.5\%[/tex]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)
[tex]r=480\cdot\frac{1}{8}=60[/tex]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)
[tex]p_t=\frac{1}{6}=0.1667=16.67\%[/tex]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.
