Question

suppose that the probability you are working on any given weekend is 0.65 and the probability that your significant other is working on any given weekend is 0.10. find the probability that for a randomly selected weekend, neither of you are working

Answer 1

To find the probability that neither you nor your significant other are working on a randomly selected weekend, we can use the probabilities of each event and apply the concept of independent events.

Let's denote:

P(You are working) = 0.65

P(Significant other is working) = 0.10

To find the probability that neither of you are working, we need to calculate the complement of both events occurring, which is the event that neither of you are working.

P(Neither of you are working) = 1 - P(You are working) - P(Significant other is working)

P(Neither of you are working) = 1 - 0.65 - 0.10

P(Neither of you are working) = 1 - 0.75

P(Neither of you are working) = 0.25

Therefore, the probability that neither you nor your significant other are working on a randomly selected weekend is 0.25, or 25%.