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5. What is the expected value for the spinner? Assume each section is the same size, and assume the spinner will not land on a line.

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5. What is the expected value for the spinner?
Assume each section is the same size, and
assume the spinner will not land on a line.

5. What is the expected value for the spinner? Assume each section is the same size, and assume the spinner will not land on a line.

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MalcolmProfessional · Tutor for 6 years

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To calculate the expected value for the spinner, we need to multiply the value of each section by the probability of the spinner landing on that section and then sum up all these products.Since the circle is divided into 12 equal parts, the probability of the spinner landing on any given section is 1/12.Now, let's calculate the expected value:1. For the three $100 sections: 3 sections *$100/section * 1/12 probability = $300 * 1/122. For the three$200 sections: 3 sections * $200/section * 1/12 probability =$600 * 1/123. For the two $300 sections: 2 sections *$300/section * 1/12 probability = $600 * 1/12Now, we add up these expected values:-$300 * 1/12 = $25-$600 * 1/12 = $50-$600 * 1/12 = $50Total expected value =$25 + $50 +$50 = $125Therefore, the expected value for the spinner is$125.
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