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A game show uses a spinner like the spinner shown below to determine which section of the audience will be called upon. The game show claims that every section has an equally likely chance to be called upon and the section is determined solely by the spinner. Hazel is a fan of the show, but thinks that the red section of the audience seems to be called on much more often than the other sections. She starts keeping a record of how often the red section is selected and finds that the red section was called upon 77 times out of 100 spins. The theoretical probability of selecting red on any one spin is _____. The experimental probability of selecting red was _____. Fill in the blanks in the previous sentences to make the statements true. Then use your answers to help answer the following question. Should Hazel doubt whether the spinner is fair? A. Since the theoretical probability is much higher (more than 0.5 difference) than the experimental probability, Hazel should definitely doubt whether the spinner is fair. B. Since the probabilities are fairly close (less than 0.2 difference), Hazel should not doubt whether the spinner is fair. C. Since the probabilities are spread apart, but not by a lot (between 0.2 and 0.5 difference), Hazel would need more observations to determine whether the spinner is fair. D. Since the theoretical probability is much lower (more than 0.5 difference) than the experimental probability, Hazel should definitely doubt whether the spinner is fair.
Theoretical probability is 1/4 Because there are 4 colors all with equal chances of being landed on. Experimental probability of selecting red was 77/100 Because that was how many times that occurred when after the experiment occurred.
So the answer is either A or D?
D. Since the theoretical probability is much lower (more than 0.5 difference) than the experimental probability, Hazel should definitely doubt whether the spinner is fair.
If you were to Make The theoretical probability=To experimental probability, you would get. theoretical probability-----experimental probability 25/100 77/100 Based on that^ You can see that the theoretical probability is much lower (More than 0.5) than the experimental probability
Okay! Thanks (: !