Question

You entered a contest through your local television station. There is one first prize of a new car! There are 5 second place prizes of $1000, and 20 third place prizes of $100. If there are 2000 entries, what is the chance that you will win one of the 2nd place prizes?

Answer 1

There are 26 people who will get the chance to get first, second, or third place. But, you need to focus on the 5 second place prizes. The chance that you will win a second place prize is 5 to 2000, or, simplified, is a 1 to 400 chance. In a percent, that would be a 0.25% chance that you will win one of the second place prizes. Hope I helped :)

Answer 2

`(1)/(400)` or 0.0025 0r 0.25%

Explanation:

There are three categories that will get a prize

1) First place = 1 person

2) Second place = 5 persons

3) Third place = 20 persons

A total of 26 people will get prizes.

However, we want to determine your chance to win one of the second place prizes

There are 5 prizes in second place

This means out of a total of 2000 people, you could be among the 5

i.e 5 out of 2000

This is
`(5)/(2000) = (1)/(400) = 0.0025`

This means you have a chance of 1 out of 400

= 0.25%