What are examples of variables that follow a binomial probability distribution?

Statistics
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What are examples of variables that follow a binomial probability distribution? 

Mar 23rd, 2015

The binomial distribution applies to the number of times an event occurs out of n trials, when each trial is independent and the probability is the same on each trial. The classic example is coin flips, e.g. number of heads in n trials. In that case p = 0.5, the probability of a head on one trial.

But you could easily cook up other examples with cards or dice. The number of times X happens with cards (like you get a red jack, or a number less than 10, or a pair of 3s from a deal of 5 cards), if after each trial you put all the cards back and shuffle the deck. The number of times X happens with a roll of one die, or two, or 3.

Or anything else where you arrange that the probabilities are the same each time. The number of times you draw a blue marble from a collection, if you put the marble back each time. The number of times you get a red sock out of your drawer with your eyes closed, if you put it back each time.

The key is that you reset things each time, so p is always the same for the next trial.

Mar 23rd, 2015

This is the same exact answer that is on Yahoo answers. Do you have a different answer?

Mar 23rd, 2015

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