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VIAMC 2025 Mock Test — Level 6 (Senior) Question 12

VIAMC · VIAMC 2025 Mock Test — Level 6 (Senior)

Question 12

A hospital uses a rapid test for disease X. (i) The community prevalence is 0.5%. (ii) Sensitivity, the probability of a positive result for a sick person, is 99%. (iii) Specificity, the probability of a negative result for a healthy person, is 95%. A randomly selected community member tests positive. Which option is closest to the probability that this person actually has X?

The following source mathematical images preserve the printed option/formula/figure variants; text and choices above or below provide clean typesetting.

Question illustration
  1. 0.50
  2. 0.25
  3. 0.17
  4. 0.09