Question
The probability that it will rain tomorrow is \(\frac{5}{8}\)
If it rains, the probability that Rafael walks to school is \(\frac{1}{6}\)
If it does not rain, the probability that Rafael walks to school is \(\frac{7}{10}\)
(a) Complete the tree diagram.
(b) Calculate the probability that it will rain tomorrow and Rafael walks to school.
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(c) Calculate the probability that Rafael does not walk to school.
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Answer/Explanation
(a)\(\frac{5}{8}\) \( \frac{3}{8}\)
\(\frac{1}{6} \) \(\frac{5}{6}\)
\(\frac{7}{10}\) \(\frac{3}{10}\)
(b)\(\frac{5}{48}\)
(c)\(\frac{304}{480}\)