Coin Toss Probability Calculator

This is equivalent to saying (0 or 1) heads Calculate the probability of the following coin flip TTTTTTTTT Probability of each coin toss is 1/2, so we have: P(TTTTTTTTT) = 0.001953125 Calculate the probability of the following coin flip

Image to Crop Calculate the probability of flipping a coin 9 times with no more than 1 heads

This is equivalent to saying (0 or 1) heads

List out ways to flip 0 head and 9 tails

TTTTTTTTT

List out ways to flip 1 head and 8 tails

HTTTTTTTT
THTTTTTTT
TTHTTTTTT
TTTHTTTTT
TTTTHTTTT
TTTTTHTTT
TTTTTTHTT
TTTTTTTHT
TTTTTTTTH

Calculate each coin toss sequence probability:

Calculate the probability of the following coin flip

TTTTTTTTT

Coin Toss Probability Formula

Probability of each coin toss is 1/2, so we have:

P(TTTTTTTTT)  =  1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1
  2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

P(TTTTTTTTT)  =  1
  512

P(TTTTTTTTT) = 0.001953125

Calculate the probability of the following coin flip

HTTTTTTTT

Coin Toss Probability Formula

Probability of each coin toss is 1/2, so we have:

P(HTTTTTTTT)  =  1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1
  2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

P(HTTTTTTTT)  =  1
  512

P(HTTTTTTTT) = 0.001953125

Calculate the probability of the following coin flip

THTTTTTTT

Coin Toss Probability Formula

Probability of each coin toss is 1/2, so we have:

P(THTTTTTTT)  =  1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1
  2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

P(THTTTTTTT)  =  1
  512

P(THTTTTTTT) = 0.001953125

Calculate the probability of the following coin flip

TTHTTTTTT

Coin Toss Probability Formula

Probability of each coin toss is 1/2, so we have:

P(TTHTTTTTT)  =  1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1
  2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

P(TTHTTTTTT)  =  1
  512

P(TTHTTTTTT) = 0.001953125

Calculate the probability of the following coin flip

TTTHTTTTT

Coin Toss Probability Formula

Probability of each coin toss is 1/2, so we have:

P(TTTHTTTTT)  =  1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1
  2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

P(TTTHTTTTT)  =  1
  512

P(TTTHTTTTT) = 0.001953125

Calculate the probability of the following coin flip

TTTTHTTTT

Coin Toss Probability Formula

Probability of each coin toss is 1/2, so we have:

P(TTTTHTTTT)  =  1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1
  2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

P(TTTTHTTTT)  =  1
  512

P(TTTTHTTTT) = 0.001953125

Calculate the probability of the following coin flip

TTTTTHTTT

Coin Toss Probability Formula

Probability of each coin toss is 1/2, so we have:

P(TTTTTHTTT)  =  1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1
  2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

P(TTTTTHTTT)  =  1
  512

P(TTTTTHTTT) = 0.001953125

Calculate the probability of the following coin flip

TTTTTTHTT

Coin Toss Probability Formula

Probability of each coin toss is 1/2, so we have:

P(TTTTTTHTT)  =  1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1
  2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

P(TTTTTTHTT)  =  1
  512

P(TTTTTTHTT) = 0.001953125

Calculate the probability of the following coin flip

TTTTTTTHT

Coin Toss Probability Formula

Probability of each coin toss is 1/2, so we have:

P(TTTTTTTHT)  =  1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1
  2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

P(TTTTTTTHT)  =  1
  512

P(TTTTTTTHT) = 0.001953125

Calculate the probability of the following coin flip

TTTTTTTTH

Coin Toss Probability Formula

Probability of each coin toss is 1/2, so we have:

P(TTTTTTTTH)  =  1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1
  2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

P(TTTTTTTTH)  =  1
  512

P(TTTTTTTTH) = 0.001953125


Calculate final probability:

P(9 coin tosses with no more than 1 heads)  =  1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1
  512

P(9 coin tosses with no more than 1 heads)  =  10
  512

Our fraction portion is not reduced down completely. Using our GCF calculator, we see the Greatest Common Factor (GCF) of (10 and 512) is 2

Reducing top and bottom by 2, we get:

P(9 coin tosses with no more than 1 heads)  =  5
  256

Final Answers

P(9 coin tosses with no more than 1 heads) = 0.01953125

You have 1 free calculations remaining


What is the Answer?

P(9 coin tosses with no more than 1 heads) = 0.01953125

How does the Coin Toss Probability Calculator work?

Free Coin Toss Probability Calculator - This calculator determines the following coin toss probability scenarios
* Coin Toss Sequence such as HTHHT
* Probability of x heads and y tails
* Probability of at least x heads in y coin tosses
* Probability of at least x tails in y coin tosses
* Probability of no more than x heads in y coin tosses
* Probability of no more than x tails in y coin tosses
* (n) Coin Tosses with a list of scenario results displayed
* Monte Carlo coin toss simulation
This calculator has 7 inputs.

What 2 formulas are used for the Coin Toss Probability Calculator?

What 4 concepts are covered in the Coin Toss Probability Calculator?

coinA unit of currencycoin toss probabilitymonte carlo simulationa model used to predict the probability of a variety of outcomes when the potential for random variables is present.probabilitythe likelihood of an event happening. This value is always between 0 and 1.
P(Event Happening) = Number of Ways the Even Can Happen / Total Number of Outcomes

Example calculations for the Coin Toss Probability Calculator

Coin Toss Probability Calculator Video


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