Exam-Style Problem
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June 2021 p53 q7
2586
In the region of Arka, the total number of households in the three villages Reeta, Shan and Teber is 800. Each of the households was asked about the quality of their broadband service. Their responses are summarised in the following table.
| Village | Excellent | Good | Poor |
|---|---|---|---|
| Reeta | 75 | 118 | 32 |
| Shan | 223 | 177 | 40 |
| Teber | 12 | 60 | 63 |
(i) Find the probability that a randomly chosen household is in Shan and has poor broadband service.
(ii) Find the probability that a randomly chosen household has good broadband service given that the household is in Shan.
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