Coin Flip Probability Calculator







 

What is Coin Flip Probability Calculator?

A Coin Flip Probability Calculator is a useful tool for anyone interested in probability and statistics. It is a web-based application that calculates the probability of getting a certain number of heads or tails from a given number of coin flips. In this article, we will discuss the formula used to calculate the probability, provide an example, and answer some frequently asked questions.

Formula:

The formula used to calculate the probability of getting a certain number of heads or tails from a given number of coin flips is:

P = (n!/(x!(n-x)!)) * (1/2)^n

Where:

  • P is the probability
  • n is the total number of coin flips
  • x is the total number of heads or tails
  • ! is the factorial operator (i.e., 4! = 4 x 3 x 2 x 1 = 24)
  • ^ is the exponent operator (i.e., 2^3 = 2 x 2 x 2 = 8)

Example:

Suppose we flip a coin 10 times, what is the probability of getting exactly 5 heads?

Using the formula above, we can calculate the probability as follows:

P = (10!/(5!(10-5)!)) * (1/2)^10 P = (3628800/(120 x 30240)) * 0.0009765625 P = 0.24609375 or 24.61%

Therefore, the probability of getting exactly 5 heads from 10 coin flips is approximately 24.61%.

How to Calculate:

To use the Coin Flip Probability Calculator, you simply need to input the total number of coin flips and the total number of heads or tails, and then click the “Calculate Probability” button. The calculator will then use the formula above to calculate the probability and display the result.

FAQs:

What is the probability of getting at least 1 head in 3 coin flips?

The probability of getting at least 1 head in 3 coin flips is 87.5%.

What is the probability of getting 2 heads in a row in 4 coin flips?

The probability of getting 2 heads in a row in 4 coin flips is 18.75%.

What is the probability of getting 4 tails in a row in 10 coin flips?

The probability of getting 4 tails in a row in 10 coin flips is 0.09765625%.

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