A blood test has been designed to detect a particular form of cancer

MATHEMATICS · Subjective · CBSE · Mathematics · Probability · Probability

Problem

A blood test has been designed to detect a particular form of cancer. The probability that the test correctly identifies someone with the cancer is 0.97, and the probability that the test correctly identifies someone without the cancer is 0.93. Approximately 0.1% of the general population are known to contract this cancer.When a patient has a blood test, the test results are positive for the cancer. Find the probability that the patient actually has the cancer.

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