# Probability of a frequency

1. Jul 18, 2010

### moonman239

Let's say I survey 20 people out of a 35-person population. 16 people answered yes to a particular question. What is the probability that only 16 people out of the total population would answer yes?

Attempt at a solution: The number of those not surveyed have an equal
probability of answering yes or no. Thus the probability of
those not surveyed all answering no is .003%.

2. Jul 19, 2010

### CompuChip

How did you get 0.003%?

What is the probability that any given individual will answer 'yes'?
How many people are remaining?