Question

10 candidates are running for president and vice presidentpositions. What is the probability that a particular candidatedoes not win a position?Select one:1/5, 1/20, 1/10, 4/5

Answer 1

The answer is:

$\frac{4}{5}$

Explanation:

To calculate the probability of an event A occurring, we use the formula:

$P(A)=\frac{favorable\text{ }outcomes}{total\text{ }outcome}$

And, if P(A) is the probability of A occurring, the probability of A not occurring is:

$P(\neg A)=1-P(A)$

In this case, for a particular candidate to win a position, the total outcome is 10 people, and the favorable outcome is 2, for the 2 positions to be elected.

Then:

$P(A)=\frac{2}{10}$$P(A)=\frac{1}{5}$

This is the probability of winning a position. The probability of not winning is:

$\begin{gathered} P(\neg A)=1-\frac{1}{5} \\ p(\neg A)=\frac{4}{5} \end{gathered}$