In January of 2022, an outbreak of the PROBAB-1550 Virus occurred at the Johnaras Hospital in wards A, B and C. It is known that:
Ward A has 35 patients, 10 percent of whom have the virus,
Ward B has 70 patients, 15 percent of whom have the virus,
Ward C has 50 patients, 20 percent of whom have the virus.
](1 point) (a) What is the probability that a randomly selected student from these three wards has the virus?
(1 point) (b) If a randomly selected student from the hospital has the virus, what is the probability that they are in Ward C?
