I NEED HELP QUICK.
For this activity, you will need two different coins. First, you will determine the theoretical probability of events. Then, you will flip the coins 100 times and determine the experimental probability of the events.
Result:
(Frequency)
Two heads
30
Two tails
20
One head, one tail
50
Answer the following questions based on the data you gathered. You must show your work to receive credit.
What is the theoretical probability that a coin toss results in two heads showing?
To get my answer I counted the number of possible outcomes of the event, of which there are 3.
Step 2: I counted the number of desirable outcomes of the event, there are 30.
Step 3: I divided the number of desirable outcomes by the number of possible outcomes.
Step 4: I expressed this probability as a percentage; which is 30%.
What is the experimental probability that a coin toss results in two heads showing?
Because the experimental probability of an event = Number of times an event occurs / Total number of trials, my answer is 0.3 which equals to 30%.
What is the theoretical probability that a coin toss results in two tails showing?
Using the steps that I used in question 1, the theoretical probability that a coin toss results in two tails showing is 6.6%
What is the experimental probability that a coin toss results in two tails showing? Using the steps that I used in question 2, the experimental probability that a coin toss results in two tails showing is 0.2 which equals to 20%.
What is the theoretical probability that a coin toss results in one head and one tail showing? Using the steps that I used in question 1, the theoretical probability that a coin toss results in one head and one tail showing is 50%.
What is the experimental probability that a coin toss results in one head and one tail showing? Using the steps that I used in question 2, the experimental probability that a coin toss results in one head and one tail showing is 50%.
Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference? I recognized that the difference between theoretical and experimental probability in this activity is that theoretical probability is based on knowledge and mathematics, and experimental probability is based on trials or experiments.