Using the two-frequency table, compute the probability of a patient not having heart disease, given that the patient has normal cholesterol, or P(no heart disease|normal cholesterol).

The probability P(no heart disease | normal cholesterol) according to the two way frequency table is : 0.971

P(no heart disease | normal cholesterol) ;

Let :

No heart disease = N

Normal cholesterol = C

Recall that the conditional probability ;

P(A|B) = P(AnB) / P(B)

Hence,

P(N | C) = p(N n C) / p(C)

From the two way table :

P(N | C) = 367 / 378

P(N | C) =  0.9708

P(N | C) = 0.971 (3 decimal places)

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