A man is off work if either he or his wife is ill or both (he needs to stay at home to look after his children if his wife is ill). The probability that he is ill is 0.05, the probability that his wife is ill is 0.02, the probability that both are ill is 0.005.
1) What is the probability he is off work?
2) Find the conditional probability that he is ill given his wife is? Compare this with the corresponding unconditional probability: does it seem reasonable?
3) If you know he is off work, what is the probability he is ill?
Help needed please :(