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Research suggests that 1 woman in 162 in the population carries the gene required for the disease, 1 man in 71 carries the gene, and there is 1 chance in 4 that a child of a couple who both possess the required gene will be affected.

The question

Please imagine you are studying cases of a rare genetic disease. Research suggests that 1 woman in 162 in the population carries the gene required for the disease, 1 man in 71 carries the gene, and there is 1 chance in 4 that a child of a couple who both possess the required gene will be affected. If there are 1.6 million couples of childbearing age in NSW, each of whom has a 1 in 21 chance of producing a child in 2019, calculate how many affected children are likely to be born to NSW citizens in 2019. Please show your calculations.

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