Answer:
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.