Question

0-m/j grade 7 mathematics cr
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 equal spinner sections

Assume the spinner has 4 equal sections (for Elisondra + 3 friends, matching the 40/10 split). Each person has a theoretical probability of $\frac{1}{4}$ per spin.

Step2: Calculate expected visits for Elisondra

Multiply total visits by individual probability:
$40 \times \frac{1}{4} = 10$

Step3: Evaluate each option

• "A different person every time": Probability is extremely low, not predictable.
• "Elisondra ~10 times": Matches the expected value.
• "Diya exactly 20 times": Theoretical expectation is 10, exact counts are not guaranteed.
• "Elisondra 40 times": Impossible, probability is 0.
• "Each person ~same times": With equal probability, each has an expected 10 visits, so this holds.

Answer:

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