Complete a contingency table and calculate joint and conditional probabilities.

Complete a contingency table and calculate joint and conditional probabilities.

4 marks

ProbabilityQuestionBank.pdf

In a survey of 200 people, 90 of whom were female, it was found that 60 people were unemployed, including 20 males.

Using this information, complete the table below.
Males Females Totals
Unemployed
Employed
Totals 200
If a person is selected at random from this group of 200, find the probability that this person is
1. an unemployed female;
2. a male, given that the person is employed.

[4]

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Answer:\(P(\text{unemployed female})=\frac{40}{200}=0.20\), and \(P(\text{male}\mid\text{employed})=\frac{90}{140}=\frac9{14}\).

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