Question

What is the probability that you and your friend are both chosen?

Answer 1

Answer:
`(2)/(35)`

Explanation:

Given: The total number of ways of to choose 3 contestants out of 7 (including me and my friend)=35..................> Total outcomes.

Favorable outcomes = 2

Then the probability that me and my friend are both chosen =
`\frac{\text{favorable outcomes }}{\text{Total outcomes}}`

Thus , the probability that me and my friend are both chosen =
`(2)/(35)`

Answer 2

Option: A is the correct answer.

The probability that you and your friend both are chosen is:

A.
`(5)/(35)`

Explanation:

There are a total of 7 people and out of which 3 are to be selected.

Total possible ways of choosing three people are: 35

Also, now if you and your friend are chosen then there are 5 people left and now only one person is to be chosen out of these 5 people.

Hence, the probability is calculated as:

`(5_C_1)/(35)\\\\\\=((5!)/((5-1)!* 1!))/(35)\\\\\\=((5* 4!)/(4!))/(35)\\\\\\=(5)/(35)`

Hence, the answer is:

Option: A