Question

According to the Centers for Disease Control and Prevention (CDC), vaccination rates for adults aged 65 and older have declined, even though as people age their immune systems weaken. Two of the vaccines recommended for adults aged 65 and older include the pneumococcal vaccine and the shingles vaccine. According to the CDC, 63.6% of adults aged 65 and older have received a pneumococcal vaccine, and 34.2% have received a shingles vaccine. Assume the probability of an adult aged 65 and older having received both vaccines is 21.8%.

1. What is the probability a randomly selected adult aged 65 and older would not have received either vaccine

2. What is the probability a randomly selected adult aged 65 and older received a pneumococcal vaccine given they received a shingles vaccine

3. . Is a patient receiving a shingles vaccine dependent on them receiving a pneumococcal vaccine

Answer 1