Question

(This purple side is what will be graded for the 605 project when you submit it!)

Complete your project on this side!

For this activity, you will need two 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.

Flip two coins 100 times, and record the results of each coin toss in a table like the one below:

Result
Frequency
Two Heads
28
Two Tails
30
1 Head, 1 Tail
42



complete below


Answer the following questions based on the data you gathered. You must show your work to receive credit.

1. What is the theoretical probability that a coin toss results in two heads showing?

2. What is the experimental probability that a coin toss results in two heads showing?


3. What is the theoretical probability that a coin toss results in two tails showing?

4. What is the experimental probability that a coin toss results in two tails showing?


5. What is the theoretical probability that a coin toss results in one head and one tail showing?


6. What is the experimental probability that a coin toss results in one head and one tail showing?


7. Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?

Answer 1

1. The theoretical probability that a coin toss results in two heads showing is 25% :

The probability of a head showing the first time is 50%
The probability of getting a head twice is 50% x 50% = 25%

2. The experimental probability that a coin toss results in two heads showing is 28/100 (28%)

3. The theoretical probablity that a coin toss results in two tails showing is 25% ( 50% x 50% )

4. The experimental probability that a coin toss results in two tails showing is 30/100 (30%)

5. The theoretical probability that a coin toss results in one head and one tail showing is 25% (also 50% x 50%)

6. The experimental probability that a coin toss results in one head and one tail showing is 42/100 (42%)

7. The theoretical probabilities have a difference from experimental probabilities because theoretical probabilities are equal odds of happening, while experimental probabilities might be biased because we might get tails for example, 10 times in a row, which messed up the odds.

Hope this helps. somehow.