To determine the number of times the spinner will land in a prime number first we need to determine the probability of the spinner landing on a prime number. The probability is equal to the number of prime numbers divided by the total number of numbers. There are 6 prime numbers, those are 1, 3, 5, 7, 11, and 13.
Therefore, the probability is:
[tex]P=\frac{6}{8}=\frac{3}{4}[/tex]Now, the number of expected times the spinner will land in a prime number is the number of times it is spun multiplied by the probability:
[tex]n=\frac{3}{4}\times240=180[/tex]Therefore, we can expect that the spinner will land on a prime number 180 times.