Question

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

Answer 1

Answer:

Option: A is the correct answer.

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

                              A.   $\dfrac{5}{35}$

Step-by-step 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:

$\dfrac{5_C_1}{35}\\\\\\=\dfrac{\dfrac{5!}{(5-1)!\times 1!}}{35}\\\\\\=\dfrac{\dfrac{5\times 4!}{4!}}{35}\\\\\\=\dfrac{5}{35}$

          Hence, the answer is:

            Option: A

Answer 2

Answer:  $\frac{2}{35}$

Step-by-step 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 =$\frac{2}{35}$