Question

The reality game show Survivor is played with people divided into two tribes of . In the first episode, two people get homesick and quit. If every person has an equal chance of being one of the two quitters, and the probability that one person quits is independent of the probability that any other person quits, what is the probability that both people who quit are from the same tribe

1. minhkhue
The probability that both people who quit are from same tribe is 7/15
Probability is simply how likely something is to happen. Whenever we’re unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
Given,
The reality game show survivor is played with 16 people.
They are divided into two tribes of 8.
There are 2C(2,2)C(14,6) ways to order the 16 people with 2 from 1 tribe in the first 2 positions.
There are (C(2,2)C(14,6) ways  for either tribe out of C(16,8) total orders.
Therefore,
The probability that both people who quit are from same tribe is:
2C (14,6)/ C(16,8) = 7/15