The probability that an employee of a company is late for work is 0.15 on any working day and 0.35 if it rains. THe probability that it rains is 0.24. Find the probability that

(1) it rains and the emplyee is late

(2) it rains if the employee is late

(3) the employee is late if it did not rain

I would like to check my answers

(1) 0.084

(2) 0.56

(3) 0.087