Question

predicting outcomes based on theoretical probability
what could be predicted if elisondra and her friends use the spinner to decide who orders first during 40 visits? check all that apply.
□ a different person will order first every time.
□ elisondra will order first approximately 10 times.
□ diya will order first exactly 20 times.
□ the spinner will land on elisondra’s section 40 times.
□ each person will order first approximately the same number of times.

Explanation:

Step1: Assume the spinner is fair and divided equally among the people.

If divided equally among say 4 people, the probability of each person being selected is $\frac{1}{4}$.

Step2: Calculate expected number of times for 40 spins.

For 40 spins, the expected number of times a person is selected is $40\times\frac{1}{4}=10$.

Step3: Analyze each option.

• Option 1: In a fair - spinner situation, it's very unlikely that a different person will order first every time as there are only a finite number of spins (40).
• Option 2: If the spinner is fair and divided among 4 people, each person is expected to order first approximately 10 times. So Elisondra will order first approximately 10 times.
• Option 3: There is no guarantee that Diya will order first exactly 20 times. It's an expected - value situation, not an exact one.
• Option 4: The spinner won't land on Elisondra’s section 40 times as there are other people in the selection.
• Option 5: If the spinner is fair, each person will order first approximately the same number of times.

Answer:

B. Elisondra will order first approximately 10 times.
E. Each person will order first approximately the same number of times.