Question

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 elisondras section 40 times. each person will order first approximately the same number of times.

Explanation:

Step1: Analyze the probability of each outcome

Assume the spinner is divided equally among the people (for example, if there are 4 people, each has a probability of \(\frac{1}{4}\)).
For 40 visits, the expected number of times a person is chosen is \(n\times p\) (where \(n = 40\) and \(p\) is the probability of being chosen). If \(p=\frac{1}{4}\), then \(40\times\frac{1}{4}=10\).

Step2: Evaluate each option

• Option A: A different person will order first every time. This is not likely as there is a probability of repetition.
• Option B: If the probability of Elisondra being chosen is \(\frac{1}{4}\), then \(40\times\frac{1}{4} = 10\). So Elisondra will order first approximately 10 times.
• Option C: “Exactly 20 times” is too precise. Probability gives an approximate value, not an exact one.
• Option D: The spinner landing on Elisondra’s section 40 times is extremely unlikely (probability \(p^{40}\) where \(p\) is her probability of being chosen, which is small).
• Option E: If the spinner is fair (equal - probability sections), then each person has \(p=\frac{1}{4}\) (assuming 4 people). \(40\times\frac{1}{4}=10\) for each person. So 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.