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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.

User EdgarX
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2 Answers

6 votes

Answer:10/16

Explanation:

6+2+8=16

8+2 =10

= 10/16

if u need to simply

=5/8

User Mark Moretto
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3 votes

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=(9)/(11)

Answer:

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

User Ankit Vishwakarma
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