An actuary is studying the prevalence of three health risk factors, denoted by A, B, and C, within a population of women. For each of the three factors, the probability is 0.1 that a woman in the population has only this risk factor (and no others). For any two of the three factors, the probability is 0.12 that she has exactly these two factors (but not the other). The probability that a woman has all three risk factors given that she has A and B, is 1/3 .

What is the probability that a woman has risk factors B and C?