Final answer:
The probability that the random number generator will select a number that is not a multiple of 9 is 0.9.
Step-by-step explanation:
To find the probability that the random number generator will select a number that is not a multiple of 9, we need to determine the number of favorable outcomes and the total number of possible outcomes.
There are 8 numbers between 1 and 80 that are multiples of 9 (9, 18, 27, 36, 45, 54, 63, 72). So, the number of favorable outcomes is 80 - 8 = 72.
The total number of possible outcomes is 80.
Therefore, the probability that the random number generator will select a number that is not a multiple of 9 is 72/80 = 0.9.