Question

The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is a divisor of 1". Let B be the event "the outcome is less than or equal to 2". Find P(AB). Outcome Probability 1 0.4 2 0.4 3 0.2

Answer 1

Remember that

p(A|B) is the probability of event A occurring, given that event B occurs

so

If the event B occurs

the outcomes are 2 and 1

therefore

the probability is

p(A|B) =0.4+0.4=0.8

answer is 0.8