1.
probability that two randomly selected integers
from a set have a product that is odd is 1/5.
If the set includes three odd integers, how many integers are in the set
altogether?

Thank you for the opportunity to help you with your question!

It is worth noting that it is only the product of two odd numbers which results into an old number. If the number of odd integers in the sample is three, say, X, Y and Z, then their possible products are XY, XZ and YZ. This means that the total number of integers in the sample is 5.

Hence if 1/5=3, 1=3*5/1=15 possible outcomes (products). This means that the number of integers is 5 since five integers have 15 possible product outcomes.

Please let me know if you need any clarification. I'm always happy to answer your questions.