How to find p(I go sailing | it does not rain) and other questions.

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  1. If it rains, I do not go sailing. It rains 10% of days; I go sailing 3% of days.

    If it does not rain, what is the (conditional) probability that I go sailing?

    Written "p(I go sailing | it does not rain)''?

  2. I am at my office AND not working 2% of the time. I am at my office 10% of the time. What is the conditional probability that I am not working, if I am at my office?

  3. An Urn contains two white marbles and one black marble. A marble is drawn from the Urn without replacement and put aside without my seeing it. Then a second marble is drawn, and it is white. What is the probability that the unknown removed marble is white, and what is the probability that it is black?

I would appreciate if you guys can provide a sound solution and a clear explanation. Thanks!