 # Coin Toss Probability Calculator

 Probability of Probability of head(s) and tail(s) Probability of coin tosses with no more thanat least  headstails Toss a coin times Monte Carlo Coin Toss trials

Flipping a coin 3 times, analyze all the possible results:
We expect 23 = 8 outcomes from our 3 coin flips.

## HHH   ## HHT   ## HTH   ## HTT   ## THH   ## THT   ## TTH   ## TTT   ## Probability of More Heads than Tails

4 Outcomes for More Heads than Tails = (HHH)(HHT)(HTH)(THH)
 More Heads than Tails  = 4 8

Using our GCF Calculator, we can reduce top and bottom of this fraction by 4
 More Heads than Tails  = 1 2

More Heads than Tails = 0.5

## Probability of Heads on the first toss

4 Outcomes for Heads on the first toss = (HHH)(HHT)(HTH)(HTT)
 Heads on the first toss  = 4 8

Using our GCF Calculator, we can reduce top and bottom of this fraction by 4
 Heads on the first toss  = 1 2

Heads on the first toss = 0.5

## Probability of No Tails on the first toss

4 Outcomes for No Tails on the first toss = (HHH)(HHT)(HTH)(HTT)
 No Tails on the first toss  = 4 8

Using our GCF Calculator, we can reduce top and bottom of this fraction by 4
 No Tails on the first toss  = 1 2

No Tails on the first toss = 0.5

## Probability of No Tails on the last two tosses

2 Outcomes for No Tails on the last two tosses = (HHH)(THH)
 No Tails on the last two tosses  = 2 8

Using our GCF Calculator, we can reduce top and bottom of this fraction by 2
 No Tails on the last two tosses  = 1 4

No Tails on the last two tosses = 0.25

## Probability of Both Heads on the last two tosses

2 Outcomes for Both Heads on the last two tosses = (HHH)(THH)
 Both Heads on the last two tosses  = 2 8

Using our GCF Calculator, we can reduce top and bottom of this fraction by 2
 Both Heads on the last two tosses  = 1 4

Both Heads on the last two tosses = 0.25

## Probability of Alternating Heads and Tails

2 Outcomes for Alternating Heads and Tails = (HTH)(THT)
 Alternating Heads and Tails  = 2 8

Using our GCF Calculator, we can reduce top and bottom of this fraction by 2
 Alternating Heads and Tails  = 1 4

Alternating Heads and Tails = 0.25

## Probability of More Tails than Heads

4 Outcomes for More Tails than Heads = (HTT)(THT)(TTH)(TTT)
 More Tails than Heads  = 4 8

Using our GCF Calculator, we can reduce top and bottom of this fraction by 4
 More Tails than Heads  = 1 2

More Tails than Heads = 0.5

## Probability of No Heads on the last two tosses

2 Outcomes for No Heads on the last two tosses = (HTT)(TTT)
 No Heads on the last two tosses  = 2 8

Using our GCF Calculator, we can reduce top and bottom of this fraction by 2
 No Heads on the last two tosses  = 1 4

No Heads on the last two tosses = 0.25

## Probability of Both Tails on the last two tosses

2 Outcomes for Both Tails on the last two tosses = (HTT)(TTT)
 Both Tails on the last two tosses  = 2 8

Using our GCF Calculator, we can reduce top and bottom of this fraction by 2
 Both Tails on the last two tosses  = 1 4

Both Tails on the last two tosses = 0.25

## Probability of Tails on the first toss

4 Outcomes for Tails on the first toss = (THH)(THT)(TTH)(TTT)
 Tails on the first toss  = 4 8

Using our GCF Calculator, we can reduce top and bottom of this fraction by 4
 Tails on the first toss  = 1 2

Tails on the first toss = 0.5

## Probability of No Heads on the first toss

4 Outcomes for No Heads on the first toss = (THH)(THT)(TTH)(TTT)
 No Heads on the first toss  = 4 8

Using our GCF Calculator, we can reduce top and bottom of this fraction by 4
 No Heads on the first toss  = 1 2

No Heads on the first toss = 0.5

### 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