The experimental probability of a simple event is P(event) = number of times an event occurstotal number of trials

Question

EXAMPLE: The following line plot shows the students’ birthdays in a class. Compare the theoretical and experimental probability.

Based on the data from the class, experimental P(Tuesday) = 525=15=0.2=20%

Because there are 7 days in a week, theoretical P(Tuesday) = 17=0.14=14%
Please complete the following question:

In experiment, a coin is flipped 30 times and the results are

{H, H, H, T, T, T, T, H, T, H, H, T, H, H, H, T, T, H, H, H, T, H, T, T, H, T, H, H, H, H}.

Heads: 18

Tails: 12

(2 points)
Round your answer to the tenth place (one digit).

Determine the experimental P(head) =
.

Determine the theoretical P(head) =
.

Question 2
(1 point)
The theoretical probability is
the experimental probability the coin landing on heads.

Answer 1

To determine the experimental probability of getting heads, we use the formula:

Experimental P(Head) = Number of Heads / Total Number of Flips
= 18 / 30
= 0.6 or 60%

The theoretical probability of getting heads in a fair coin flip is 0.5 or 50%.

The theoretical probability is equal to the experimental probability the coin landing on heads since the calculations match in this case.