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. dlya 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:

To solve this, we analyze each option based on probability (assuming the spinner is fair with equal sections for each person, say \( n \) people, so probability per person is \( \frac{1}{n} \)):

Option A:

"A different person will order first every time" – This is impossible. Probability of a different person each time (no repeats) in 40 trials is extremely low (since there are finite people), so A is incorrect.

Option B:

"Elisondra will order first approximately 10 times" – If there are 4 people (common spinner setup, e.g., 4 friends), probability per person is \( \frac{1}{4} \). For 40 trials: \( 40 \times \frac{1}{4} = 10 \). So this is a reasonable approximation (probability predicts approximate counts, not exact).

Option C:

"Dhya will order first exactly 20 times" – "Exactly" 20 is too precise. Probability gives expected values, but actual results vary (no guarantee of exact counts). So C is incorrect.

Option D:

"The spinner will land on Elisondra’s section 40 times" – If there are multiple people, the spinner can’t land on her section every time (probability \( \frac{1}{n} < 1 \) for \( n > 1 \)). So D is incorrect.

Option E:

"Each person will order first approximately the same number of times" – With a fair spinner, each person has equal probability. Over 40 trials, the law of large numbers suggests counts will be approximately equal (no extreme deviations).

• B: For a fair spinner with \( n \) people, the expected count for one person in 40 trials is \( 40 \times \frac{1}{n} \). If \( n = 4 \), this is 10 (approximate, not exact).
• E: The law of large numbers implies that with equal probability, counts for each person will be roughly equal over many trials.
• A: Impossible (repeats are likely in 40 trials).
• C: "Exactly" 20 is unrealistic (probability predicts trends, not exact counts).
• D: Impossible (spinner has multiple sections, so it can’t land on one person 40 times).

Answer:

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