The experimental probability of a simple event is P(event) = number of times an event occurstotal number of trials
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. ____
Determine the experimental P(head) = 18/30 = 0.6 = 60%
Determine the theoretical P(head) = 0.5 = 50%
The theoretical probability is different from the experimental probability the coin landing on heads.
The last question
The theoretical probability is _____ the experimental probability the coin landing on heads.
A. Greater than
B. less than
C. Equal to
The answer is:
B. Less than