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:

`(4)/(5)`

Step-by-step 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(\\eg 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)=(2)/(10)`
`P(A)=(1)/(5)`

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

`\begin{gathered} P(\\eg A)=1-(1)/(5) \\ p(\\eg A)=(4)/(5) \end{gathered}`