margo is going to spin the following spinner 210 times. the spinner is divided into equal sections. what is…

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

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

Answer

Answer:

D. Close to 120 times but probably not exactly 120 times

Explanation:

Step1: Calculate probability of not landing on elephant

The spinner has 8 equal - sections, and 5 of them are not elephants. So the probability $P$ of not landing on an elephant is $P=\frac{5}{8}$.

Step2: Calculate expected number of non - elephant landings

The spinner is spun 210 times. The expected number of times it will not land on an elephant is $E = 210\times\frac{5}{8}=\frac{1050}{8}=131.25$. Since this is a probability - based prediction, we expect a value close to the calculated expected value but not exactly equal to it. Among the given options, D is the most appropriate as 120 is close to 131.25 and in probability, we don't expect exact values in practice.