What is the Probability of Getting 16 Yes Answers in a Small Population Survey?

In summary, probability is a measure of the likelihood that an event will occur, expressed as a number between 0 and 1. It can be calculated by dividing the number of times an event occurs by the total number of possible outcomes. Theoretical probability is based on mathematical principles and calculated before an event occurs, while experimental probability is based on actual observations and calculated after an event has occurred. Probability cannot be greater than 1 or less than 0, with 0 representing impossibility and 1 representing certainty. In real life, probability is used in various situations, such as predicting the weather, making financial decisions, and conducting medical studies, to understand the likelihood of certain outcomes and make informed decisions.
  • #1
moonman239
282
0
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%.
 
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  • #2
How did you get 0.003%?

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

FAQ: What is the Probability of Getting 16 Yes Answers in a Small Population Survey?

What is the definition of probability?

The probability of an event is a measure of the likelihood that the event will occur. It is expressed as a number between 0 and 1, with 0 representing impossibility and 1 representing certainty.

How is probability of a frequency calculated?

The probability of a frequency is calculated by dividing the number of times an event occurs by the total number of possible outcomes. This is known as the relative frequency approach.

What is the difference between theoretical and experimental probability?

Theoretical probability is based on mathematical principles and is calculated before an event occurs. Experimental probability is based on actual observations and is calculated after an event has occurred.

Can probability be greater than 1 or less than 0?

No, probability cannot be greater than 1 or less than 0. A probability of 0 means the event is impossible, while a probability of 1 means the event is certain to occur.

How is probability used in real life?

Probability is used in many real-life situations, such as predicting the weather, making financial decisions, and conducting medical studies. It helps us understand the likelihood of certain outcomes and make informed decisions based on that information.

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