Answer:
Option: A is the correct answer.
The probability that you and your friend both are chosen is:
A. [tex]\dfrac{5}{35}[/tex]
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:
[tex]\dfrac{5_C_1}{35}\\\\\\=\dfrac{\dfrac{5!}{(5-1)!\times 1!}}{35}\\\\\\=\dfrac{\dfrac{5\times 4!}{4!}}{35}\\\\\\=\dfrac{5}{35}[/tex]
Hence, the answer is:
Option: A
