Based on this contingency table
the probability that a randomly tested person tests positive for asthma is

Question

BlackTom AI · Accepted Answer

To determine the probability that a randomly tested person tests positive for asthma, we use the basic probability formula: probability = (number of positive cases) / (total number of people tested). In the context of a contingency table, the numerator is the count of positive asthma cases, and the denominator is the total number of individuals tested.

Option 1: 68/230. This would correspond to 68 positive cases out of 230 tested, which is not the same as the given positive count if the correct total positive count is 83. Therefore this is not the probability shown by the contingency table.

Option 2: 83/230. This matches the structure: 83 positive cases out of a total of 230 tested. If the contingency table indicates 83 positives among 230 individuals, this fraction represents the probability of testing positive, correctly using the total as the denominator.

Option 3: 68/83. This is the ratio of positives to positives (or a portion of positives relative to the number of positive cases), not the probability of testing positive in the entire tested sample. It does not use the total tested as the denominator, so it’s not the correct probability.

Option 4: 83/120. Here the denominator is 120, which would imply a different total sample size. Unless the table specifies 120 as the total tested (which it does not in the given context), this fraction does not represent the overall probability of testing positive.

In summary, the correct probability uses the total number tested as the denominator and the number testing positive as the numerator. Among the options, 83/230 is the one that fits that definition, assuming 83 positives out of 230 tested as provided by the contingency table.

Based on this contingency table the probability that a randomly tested person tests positive for asthma is

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Based on this contingency table the probability that a randomly tested person has asthma is

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