Question

Seven people, named Anna, Bob, Chandra, Darnell, Emma, Francisco, and Gina, will be interviewed for a job. The interviewer will choose two at random to interview on the first day. What is the probability that Anna and Bob will be chosen for the first interview?

a. Probability: 1/21
b. Probability: 1/35
c. Probability: 2/7
d. Probability: 1/15

Answer 1

The probability that Anna and Bob will be chosen for the first interview is 1/21.

Step-by-step explanation:

To find the probability that Anna and Bob will be chosen for the first interview, we need to determine the total number of possible outcomes and the number of favorable outcomes.

There are 7 individuals who can be chosen for the first interview. Since 2 individuals will be chosen, the total number of possible outcomes is found by using a combination formula: C(7, 2) = 7! / (2! * (7-2)!) = 21

The number of favorable outcomes is 1, since Anna and Bob need to be specifically chosen.

Therefore, the probability that Anna and Bob will be chosen is 1/21. So, the correct option is a. Probability: 1/21.