What is the probability of obtaining twelve tails in a row when flipping a coin? Interpret this...

Question:

What is the probability of obtaining twelve tails in a row when flipping a coin?

Interpret this probability.

Binomial

The binomial distribution gives the probabilities for the number of successes in repeated trails, where each trial has one of two possible outcomes. The repeated tossing of a coin is a good example of a binomial application.

Answer and Explanation:


The answer is the probability of obtaining twelve tails in a row, when flipping a coin, is {eq}P(X =12) \approx{0.00024} {/eq}


Use the Excel formula, "BINOM.DIST" to calculate this binomial probability. There are 4 inputs requited which are: number of successes, number of trials, the probability of success, and true for the cumulative probability, or false for the probability of an exact number.

The result is:

{eq}=BINOM.DIST(12,12,0.5,FALSE) =0.00024 {/eq}


Learn more about this topic:

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How to Use the Binomial Theorem to Expand a Binomial

from Algebra II Textbook

Chapter 21 / Lesson 16
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