Answered

If the probability that a person will die in the next year is [tex]\frac{814}{100,000}[/tex], what is the probability that the person will not die in the next year?

A. 0.00814
B. 0.99186
C. 99186
D. 0.996814



Answer :

To solve this problem, we need to understand two key probabilities:

1. The probability that a person will die in the next year.
2. The probability that a person will not die in the next year.

1. Probability that a person will die in the next year:

This is given as [tex]\(\frac{814}{100,000}\)[/tex]. We can convert this fraction into a decimal to make it easier to use in further calculations. This fraction can be simplified to:

[tex]\[ \frac{814}{100,000} = 0.00814 \][/tex]

So, the probability that a person will die in the next year is:

[tex]\[ 0.00814 \][/tex]

2. Probability that a person will not die in the next year:

The probability that a person will not die in the next year is complementary to the probability of dying. In other words, if we subtract the probability of dying from 1 (since the total probability must add up to 1), we'll get the probability of not dying.

So, we calculate:

[tex]\[ \text{Probability of not dying} = 1 - \text{Probability of dying} \][/tex]

Using the calculated probability of dying:

[tex]\[ \text{Probability of not dying} = 1 - 0.00814 \][/tex]

Carrying out the subtraction:

[tex]\[ \text{Probability of not dying} = 0.99186 \][/tex]

Thus, the probability that the person will not die in the next year is:

[tex]\[ 0.99186 \][/tex]

Therefore, the correct answer to the question is:

[tex]\[ \boxed{0.99186} \][/tex]