Question

what could be predicted if elisondra and her friends use the spinner to decide who orders first during 40 visits? choose two correct answers.
a different person will order first every time.
elisondra will order first approximately 10 times.
the spinner will land on elisondras section 40 times.
diya will order first exactly 20 times.
each person will order first approximately the same number of times.

Explanation:

Step1: Calculate the probability

Assume the spinner is fair and there are \(n\) people (in this case, assume two people: Elisondra and Diya). The probability of each person ordering first is \(\frac{1}{2}\) if it's a two - person situation.

Step2: Use the formula for expected value

The formula for expected value \(E(X)=n\times p\), where \(n = 40\) (number of trials, i.e., visits) and \(p=\frac{1}{2}\) (probability of a person ordering first). So \(E(X)=40\times\frac{1}{2}=20\). Since it's an expected value (a prediction), it's an approximate value. For each person, the expected number of times they order first is approximately \(\frac{40}{2}=20\) times.

Answer:

Elisondra will order first approximately 10 times (if there are 4 people, wrong assumption in original thought, correct if 2 people: Each person will order first approximately the same number of times.
If we assume it's a two - person spinner (Elisondra and Diya), the two correct answers are: "Elisondra will order first approximately 20 times" and "Each person will order first approximately the same number of times"