The probability that a visit to a primary care physician\'s (PCP) office results

Question

The probability that a visit to a primary care physician's (PCP) office results in neither lab work nor referral to a specialist is 29%. Of those coming to a PCP's office 28% are referred to specialists and 47% require lab work. Determine the probability that a visit to a PCP's office results in both lab work and referral to a specialist. What is the probability that a visit results in both lab work and referral to a specialist? Choose the correct answer below OA 0.04 O B. 0.47 O C. 0.12 OD. 0.18 OE. 0.25

Explanation / Answer

Given,

P(Neither lab work nor referral) = 0.29

So,

P(Atleast one of them) = 1 - 0.29 = 0.71

Hence,

P(Both of them) = P(Lab work) + P(Referral) - P(Atleast one of them) = 0.28 + 0.47 - 0.71 = 0.04

Option A is correct.

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