g Assuming the probability of a single sample testing positive is 0.15​, find the probability of a positive result for two samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely​ necessary?

Solution :

The objective is to obtain the for 2 samples combined into a .

Given that the

The probability of the positive test result is calculated as follows :

P ( positive mixture ) = P(1 or more samples positive)

                                  = 1 - P (none +ve)

                                  = 1 - P ((-ve) x (-ve))

                                  = 1 - 0.7225

                                  = 0.2775

No, the probability is not low enough.

answer is 144

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