need help with solving two statistics problems?

1. Choose an employed person at random. Let A be the event that the person chosen is a woman, and B the event that the person holds a managerial or professional job. Government data tell us that P(A) = 0.47 and the probability of managerial and professional jobs among women is P(B|A) = 0.36. Find the probability that a randomly chosen employed person is a woman holding a managerial or professional position.

2.Here is the distribution of the adjusted gross income (in thousands of dollars) reported on individual federal income tax returns in 1994.

Income: <10, 10-29, 30-49, 50-99, 100

Probability: 0.11, 0.4, 0.25, 0.14, 0.1

Given that a return shows an income of at least $50,000, what is the conditional probability that the income is at least $100,000?

If you can explain how you got the answer, rather than just give it to me, that would be greatly appreciated.