Coin Toss Probability Calculator

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

Calculate the probability of the following coin flip

HHH

Coin Toss Probability Formula

Calculate the probability of the following coin flip

HHT

Coin Toss Probability Formula

Calculate the probability of the following coin flip

HTH

Coin Toss Probability Formula

Calculate the probability of the following coin flip

HTT

Coin Toss Probability Formula

Calculate the probability of the following coin flip

THH

Coin Toss Probability Formula

Calculate the probability of the following coin flip

THT

Coin Toss Probability Formula

Calculate the probability of the following coin flip

TTH

Coin Toss Probability Formula

Calculate the probability of the following coin flip

TTT

Coin Toss Probability Formula

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

Final Answers

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