The theoretical probabilities can be calculated by dividing the number of outcomes for each result by the total number of possible outcomes.
Total possible outcomes = 2^2 = 4
Theoretical probabilities:
Two Heads: 1/4
Two Tails: 1/4
One Head and One Tail: 2/4 = 1/2
Experimental probabilities:
Two Heads: 25/100 = 0.25
Two Tails: 26/100 = 0.26
One Head and One Tail: 49/100 = 0.49
The difference between the theoretical and experimental probabilities may be due to chance variability in the outcomes of the coin tosses. Since the experiment was conducted a finite number of times (100 in this case), there may be slight variations in the frequencies of each outcome compared to the theoretical probabilities. As the number of experiments conducted increases, the experimental probabilities should align more closely with the theoretical probabilities.
Result
Frequency: How many times did this result happen?
Two heads
25
Two tails
26
One head, one tail
49
Answer the following questions based on the data you gathered. You must show your work to receive credit.
Outcome
Theoretical
Experimental
Two Heads
Two Tails
One Head and One Tail
Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?
1 answer