An event a will occur with probability 0.5. an event b will occur with probability 0.6. the probability that both a and b will occur is 0.1. the conditional probability of b, given a, is

Conditional probability of b given a is given by dividing Probability of event b with the probability of both a and b occurring together. Hence in this case, conditional probability of b given a is 0.1 divided by 0.6. On division, the result that is obtained is 0.16.