Question

Probability that a patient is correctly diagnosed is 0.4. If a patient is correctly diagnosed he will survive is 0.8. What is the probability that a patient is correctly diagnosed and survived?

Answer 1

ANSWER

2

STEP BY STEP SOLUTION

0.8/0.4=2

Answer 2

Answer:

The probability that a patient is correctly diagnosed and survived is 0.2

Solution:

Let A denote the event that the patient is correctly diagnosed.

Let B denote the event that the patient will survive.

Probability that the patient is correctly diagnosed, P(A) = 0.4

Probability that the patient will survive, P(B) = 0.8

Probability that the patient is correctly diagnosed or survive, P(A∪B) = 1

∴ Probability that a patient is correctly diagnosed and survived is given by,

P(A∩B) = P(A) + P(B) - P(A∪B)

            = 0.4 + 0.8 - 1

            = 1.2 - 1

            = 0.2

Hence, the probability that a patient is correctly diagnosed and survived is 0.2

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