Home / iGCSE Mathematics (0580) :E8.6 Calculate conditional probability using Venn diagrams, tree diagrams and tables.iGCSE Style Questions Paper 4

iGCSE Mathematics (0580) :E8.6 Calculate conditional probability using Venn diagrams, tree diagrams and tables.iGCSE Style Questions Paper 4

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.
…………………………………………
(c) Calculate the probability that Rafael does not walk to school.
…………………………………………

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)\(\frac{304}{480}\)

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