Use a contingency table for marginal, conditional and union probabilities.

Use a contingency table for marginal, conditional and union probabilities.

6 marks
ProbabilityQuestionBank.pdf

The eye colour of 97 students is recorded in the table below. One student is selected at random.

BrownBlueGreen
Male21169
Female191913
  1. Write down the probability that the student is a male.
  2. Write down the probability that the student has green eyes, given that the student is a female.
  3. Find the probability that the student has green eyes or is male.

[6]

Solution:

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Answer:\(P(\text{green or male})=\frac{22+46-9}{97}=\frac{59}{97}\).

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