Margo is going to spin the following spinner 210 times. The spinner is divided into equal sections.

What is the best prediction for the number of times the spinner will not land on an elephant?

Choose 1 answer:
(A) Exactly 90 times
(B) Close to 90 times but probably not exactly 90 times
(C) Exactly 120 times
(D) Close to 120 times but probably not exactly 120 times

Question

Margo is going to spin the following spinner 210 times. The spinner is divided into equal sections.

What is the best prediction for the number of times the spinner will not land on an elephant?

Choose 1 answer:
(A) Exactly 90 times
(B) Close to 90 times but probably not exactly 90 times
(C) Exactly 120 times
(D) Close to 120 times but probably not exactly 120 times

Accepted Answer

∻Solution by Steps∻ ‖ step 1 ⋮ Calculate the probability of the spinner not landing on an elephant. Since there are 5 elephants and 8 sections total, the probability of not landing on an elephant is $1 - \frac{5}{8} = \frac{3}{8}$. ‖ ‖ step 2 ⋮ Use the probability from step 1 to predict the number of times the spinner will not land on an elephant out of 210 spins. Multiply the total number of spins by the probability: $210 imes \frac{3}{8}$. ‖ ‖ step 3 ⋮ Perform the multiplication to find the prediction: $210 imes \frac{3}{8} = 78.75$. ‖ ‖ step 4 ⋮ Since we cannot have a fraction of a spin, we predict that the spinner will not land on an elephant close to 78.75 times, which is approximately 79 times. ‖ ***B*** ∻Key Concept∻ ⚹Probability of an event⚹ ∻Explanation∻ ⚹To predict the number of times an event will occur, multiply the total number of trials by the probability of the event. The result gives an estimate, which is why the answer is close to but not exactly the predicted number.⚹◊What is the probability of the spinner landing on an elephant in one spin?⍭ Generate me a similar question◊

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