Explanation:
To find the probability that the spinner will land on a number that is not between 22 and 30, you can first calculate the probability of it landing on a number between 22 and 30 and then subtract that probability from 1 (since the sum of all possible outcomes must equal 1).
Find the number of numbers between 22 and 30 (inclusive):
There are 30 - 22 + 1 = 9 numbers between 22 and 30.
Find the total number of possible outcomes on the spinner, which is 50 (since it contains numbers from 1 through 50).
Calculate the probability of landing on a number between 22 and 30:
Probability of landing on a number between 22 and 30 = (Number of favorable outcomes) / (Total number of possible outcomes) = 9 / 50.
Calculate the probability of not landing on a number between 22 and 30:
Probability of not landing on a number between 22 and 30 = 1 - Probability of landing on a number between 22 and 30 = 1 - (9 / 50).
Now, you can calculate this probability:
Probability of not landing on a number between 22 and 30 = 1 - (9 / 50) = (50/50) - (9/50) = 41/50.
So, the probability that the spinner will land on a number that is not between 22 and 30 is 41/50.