Result Frequency

Two heads

28

Two tails

39

One head, one tail

62

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?

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

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

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

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

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

Compare the theoretical probabilities to your experimental probabilities. Why might there be a difference?
Someone, please answer I will be giving 98 points!

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.

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Step-by-step explanation:

Result

Frequency

Two heads

28

Two tails

39

One head, one tail

62

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?

                   ½ x ½ = ¼ = .25

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

        28/129 = .217

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

        ½ x ½ = ¼ = .25

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

        28/129 = .302

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

       ½ x ½ + ½ x ½ = .50

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

       62/129 = .48

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

      The theoretical and experimental probabilities are very different. There could be a       difference because of the size and weight of the coins or the way you flip them.

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Step-by-step explanation: