Question

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If you spin the spinner 48 times, what is the best prediction possible for the number of times it will not land on yellow?

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Answer 1

It will land 20 times

Answer 2

20 times

Explanation:

To determine the best prediction for the number of times the spinner will not land on yellow, we need to calculate the probability of the spinner not landing on yellow in a single spin and then multiply it by the total number of spins.

In this case, there are a total of 12 sectors on the spinner (4 greens + 7 yellows + 1 blue). The probability of the spinner not landing on yellow in a single spin is given by the sum of the probabilities of landing on green or blue:

P(not landing on yellow) = P(green) + P(blue) = 4/12 + 1/12 = 5/12.

Therefore, the probability of the spinner not landing on yellow in a single spin is 5/12.

To predict the number of times it will not land on yellow in 48 spins, we multiply the probability of not landing on yellow by the number of spins:

Prediction = (5/12) * 48 = 20.

Hence, the best prediction for the number of times the spinner will not land on yellow after 48 spins is 20.