Coin Toss Probability Calculator

Probability of
Probability of head(s) and tail(s)
Probability of coin tosses with  
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

HeadsHeadsHeads

HHT

HeadsHeadsTails

HTH

HeadsTailsHeads

HTT

HeadsTailsTails

THH

TailsHeadsHeads

THT

TailsHeadsTails

TTH

TailsTailsHeads

TTT

TailsTailsTails

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

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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