Given frequencies as a result of experiment:
Two heads: 28Two tails: 39One head, one tail: 62
Total number of frequencies:
28 + 39 + 62 = 129
What is the theoretical probability that a coin toss results in two heads showing?
P(HH) = 1/2*1/2 = 1/4 = 0.25
What is the experimental probability that a coin toss results in two heads showing?
P(HH) = Frequency(HH)/Total = 28/129 = 0.217
What is the theoretical probability that a coin toss results in two tails showing?
P(TT) = 1/2*1/2 = 1/4 = 0.25
What is the experimental probability that a coin toss results in two tails showing?
P(TT) = Frequency(TT)/Total = 39/129 = 0.302
What is the theoretical probability that a coin toss results in one head and one tail showing?
P(HT or TH) = 1/2*1/2 + 1/2*1/2 = 1/2 = 0.5
What is the experimental probability that a coin toss results in one head and one tail showing?
P(HT) = Frequency(HT)/Total = 62/129 = 0.48
Compare the theoretical probabilities to your experimental probabilities.
They are different as we see from the numbers above.
Why might there be a difference?
There might be a number of reasons: coins might be not fair, flipping technique etc.