The experimental probability of a simple event is P(event) = number of times an event occurstotal number of trialsEXAMPLE: 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: 18Tails: 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.Skip to navigationPreviousNext
Answer 1:
Experimental P(head) = 18/30 = 0.6 or 60%
Theoretical P(head) = 0.5 or 50%
Answer 2:
The theoretical probability is not always equal to the experimental probability. It is the likelihood of an event happening based on mathematical calculations and assumptions, while the experimental probability is based on actual results from conducting experiments or trials.