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Math Help - probability being late

  1. #1
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    probability being late

    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
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  2. #2
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    Quote Originally Posted by hooke View Post
    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
    I've only checked your answer to (3) and it's correct (to 3 decimal places).
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  3. #3
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    Quote Originally Posted by hooke View Post
    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
    (1) and (2) are correct as well to the given accuracy (but I'd be inclined to give 0.561 as the answer to (2) since you give the other answers correct to 3 decimal places ....)
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