Question

The table below shows the results of flipping two coins. how does the experimental probability of getting HH compare to the theoretical probability of getting HH?

Outcome: HH HT TH TT

# of times tossed: HH=28 HT=22 TH=34 TT=16

A. the experimental probability is 3% greater than the theoretical probability
B. the theoretical probability is 3% greater than the experimental probability
C. the experimental probability is 7% greater than the theoretical probability
D. the experimental probability is equal to the theoretical probability

Answer 1

The correct answer is option B. i.e. the experimental probability is 3% greater than the theoretical probability

The theoretical Outcomes are: HH HT TH TT
Then, the probability of getting HH = 1/4 = 0.25 = 25%

Now, Experimental Outcomes : HH=28 HT=22 TH=34 TT=16
Total number of outcomes = 28+22+34+16 = 100
Then, the probability of getting HH = 28/100 = 0.28 = 28%

Thus, the experimental probability is 3% greater than the theoretical probability