Question

The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is divisible by 6". Let B be the event "the outcome is prime". Find P(A and B).
Outcome Probability
1 0.244
2 0.024
3 0.42
4 0.081
5 0.1
6 0.041
7 0.09

Answer 1

A is {6} (only outcome divisible by 6) and B is {2,3,5,7} (primes). These sets are disjoint, so A ∩ B = ∅ and P(A and B) = 0.