Chegg There's a pandemic going on, and there are recommendations out there for wearing face coverings. Suppose that a mask reduces the probability of infection by 95% and a face shield reduces it by 72%. What is the reduction in probability of infection for an individual who wears both a mask and face shield, assuming that the effects are independent

The reduction in probability of infection for an individual who wears both a mask and face shield is 68.4%

Step-by-step explanation:

Represent the event of wearing a Mask with M

Represent the event of wearing a face shield with F

Required

Since both events are independent;

Substitute values for P(M) and P(F)

Convert both percentages to fraction

Convert to Percentage