Question

A pediatrician has smallpox vaccines numbered 1,2,3, chickenpox vaccines numbered 1,2,3,4,5,6, and influenza vaccines numbered 1,2. If a single vaccine is picked at random, what is the probability that it is not an influenza vaccine?Provide the final answer as a simplified fraction.

Answer 1

Given:

number of smallpox vaccines - 3

number of chickenpox vaccines - 6

number of influenza vaccines - 2

Find: the probability of picking NOT an influenza vaccine

Solution:

To get the probability, we use the formula below.

$P=\frac{favorable\text{ }outcome}{total\text{ }possible\text{ }outcomes}$

In the given scenario, we have a total of 11 vaccines.

Our favorable outcome is NOT an influenza vaccine, therefore, we have a total of 9 favorable outcomes (3 smallpox and 6 chickenpox vaccines).

Plugging into the formula above the number of favorable and possible outcomes. we get:

$P=\frac{9}{11}$

Answer:

Therefore, the probability of picking NOT an influenza vaccine is 9/11.