Probability of
Probability of head(s) and tail(s)
Probability of coin tosses with  
Toss a coin times
Monte Carlo Coin Toss trials
  
Calculate the probability of flipping 1 head and 8 tails

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

HTTTTTTTT

HeadsTailsTailsTailsTailsTailsTailsTailsTails

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

TailsHeadsTailsTailsTailsTailsTailsTailsTails

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

TailsTailsHeadsTailsTailsTailsTailsTailsTails

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

TailsTailsTailsHeadsTailsTailsTailsTailsTails

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

TailsTailsTailsTailsHeadsTailsTailsTailsTails

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

TailsTailsTailsTailsTailsHeadsTailsTailsTails

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

TailsTailsTailsTailsTailsTailsHeadsTailsTails

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

TailsTailsTailsTailsTailsTailsTailsHeadsTails

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

TailsTailsTailsTailsTailsTailsTailsTailsHeads

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(HTTTTTTTT + THTTTTTTT + TTHTTTTTT + TTTHTTTTT + TTTTHTTTT + TTTTTHTTT + TTTTTTHTT + TTTTTTTHT + TTTTTTTTH)  =  1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1
  512

P(HTTTTTTTT + THTTTTTTT + TTHTTTTTT + TTTHTTTTT + TTTTHTTTT + TTTTTHTTT + TTTTTTHTT + TTTTTTTHT + TTTTTTTTH)  =  9
  512

Final Answers

P(HTTTTTTTT + THTTTTTTT + TTHTTTTTT + TTTHTTTTT + TTTTHTTTT + TTTTTHTTT + TTTTTTHTT + TTTTTTTHT + TTTTTTTTH) = 0.017578125


You have 2 free calculationss remaining



What is the Answer?
P(HTTTTTTTT + THTTTTTTT + TTHTTTTTT + TTTHTTTTT + TTTTHTTTT + TTTTTHTTT + TTTTTTHTT + TTTTTTTHT + TTTTTTTTH) = 0.017578125
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?

P(H) = 1/2
P(T) = 1/2

For more math formulas, check out our Formula Dossier

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

coin
A unit of currency
coin toss probability
monte carlo simulation
a model used to predict the probability of a variety of outcomes when the potential for random variables is present.
probability
the 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
  1. HHTHT
  2. THTHT
  3. HHT
  4. TTH
  5. 2 tails and 1 head
  6. 535 coin tosses
  7. flip a coin 300 times

Coin Toss Probability Calculator Video


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