Question

a hospital tracks whether patients receive vaccinations for flu and covid-19. the results are shown below: (table omitted) what is the probability that a randomly selected patient received the flu vaccination given they received a covid-19 vaccination? 70/100 45/70 85/100 45/100 45/60

Explanation:

Step1: Recall conditional probability formula

For events A (flu vaccine) and B (COVID-19 vaccine), $P(A|B) = \frac{P(A \cap B)}{P(B)}$

Step2: Identify joint and marginal counts

$P(A \cap B)$ corresponds to 45 patients, $P(B)$ corresponds to 70 patients.

Step3: Substitute values into formula

$P(A|B) = \frac{45}{70}$

Answer:

45/70