I have a follow up question to my follow up question 3c: If the two people chosen are colorblind, shouldn't it be the conditional probability (E1|A) and (E2|A)? So we should be calculating P(E1|A)2 + P(E2|A)2 ? (0.9525)2 + (0.0476)2 = 0.9095

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I have a follow up question to my follow up question 3c:

If the two people chosen are colorblind, shouldn't it be the conditional probability (E1|A) and (E2|A)? So we should be calculating P(E1|A)2 + P(E2|A)2 ? (0.9525)2 + (0.0476)2 = 0.9095

 

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Step 1: Information given

Suppose that 5% of men and 0.25% of women are color-blind from a population that is 50% men and 50% women.

So, let 

Let E subscript 1 denot the event that men are chosen and

      E subscript 2 denot the event that women are chosen , then we can say that P(E subscript 1) = 0.5 = P(E subscript 2)

Let A be the event that a person chosen is colour blind, then P(A|E subscript 1) = 0.05 and P(A|E subscript 2) = 0.0025

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