IB Statistics and Probability Problem 002

Pablo drives to work.

The probability that he leaves home before 07:00 is \(\frac{3}{4}\).

If he leaves home before 07:00, the probability that he is late for work is \(\frac{1}{8}\).

If he leaves home at 07:00 or later, the probability that he is late for work is \(\frac{5}{8}\).

  1. Copy and complete the following tree diagram.

    image essential to understanding the question

  2. Find the probability that Pablo leaves home before 07:00 and is late.

  3. Find the probability that Pablo is late for work.

  4. Given that Pablo is late for work, find the probability that he left home before 07:00.

Published by Annie Bernatchez in «Statistics and Probability». Key Words: IB, question