Coin Toss Probability Calculator ·

31 May 2024, 00:00

Calculate the probability of flipping a coin 5 times with at least 2 heads

This is equivalent to saying (2 or 3 or 4 or 5) heads

List out ways to flip 2 heads and 3 tails

HHTTT
HTHTT
HTTHT
HTTTH
THHTT
THTHT
THTTH
TTHHT
TTHTH
TTTHH

List out ways to flip 3 heads and 2 tails

HHHTT
HHTHT
HHTTH
HTHHT
HTHTH
HTTHH
THHHT
THHTH
THTHH
TTHHH

List out ways to flip 4 heads and 1 tail

HHHHT
HHHTH
HHTHH
HTHHH
THHHH

List out ways to flip 5 heads and 0 tail

HHHHH

Calculate each coin toss sequence probability:

Calculate the probability of the following coin flip

HHTTT

Coin Toss Probability Formula

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

P(HHTTT) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(HHTTT) =	1
	32

P(HHTTT) = 0.03125

Calculate the probability of the following coin flip

HTHTT

Coin Toss Probability Formula

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

P(HTHTT) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(HTHTT) =	1
	32

P(HTHTT) = 0.03125

Calculate the probability of the following coin flip

HTTHT

Coin Toss Probability Formula

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

P(HTTHT) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(HTTHT) =	1
	32

P(HTTHT) = 0.03125

Calculate the probability of the following coin flip

HTTTH

Coin Toss Probability Formula

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

P(HTTTH) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(HTTTH) =	1
	32

P(HTTTH) = 0.03125

Calculate the probability of the following coin flip

THHTT

Coin Toss Probability Formula

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

P(THHTT) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(THHTT) =	1
	32

P(THHTT) = 0.03125

Calculate the probability of the following coin flip

THTHT

Coin Toss Probability Formula

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

P(THTHT) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(THTHT) =	1
	32

P(THTHT) = 0.03125

Calculate the probability of the following coin flip

THTTH

Coin Toss Probability Formula

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

P(THTTH) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(THTTH) =	1
	32

P(THTTH) = 0.03125

Calculate the probability of the following coin flip

TTHHT

Coin Toss Probability Formula

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

P(TTHHT) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(TTHHT) =	1
	32

P(TTHHT) = 0.03125

Calculate the probability of the following coin flip

TTHTH

Coin Toss Probability Formula

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

P(TTHTH) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(TTHTH) =	1
	32

P(TTHTH) = 0.03125

Calculate the probability of the following coin flip

TTTHH

Coin Toss Probability Formula

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

P(TTTHH) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(TTTHH) =	1
	32

P(TTTHH) = 0.03125

Calculate the probability of the following coin flip

HHHTT

Coin Toss Probability Formula

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

P(HHHTT) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(HHHTT) =	1
	32

P(HHHTT) = 0.03125

Calculate the probability of the following coin flip

HHTHT

Coin Toss Probability Formula

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

P(HHTHT) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(HHTHT) =	1
	32

P(HHTHT) = 0.03125

Calculate the probability of the following coin flip

HHTTH

Coin Toss Probability Formula

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

P(HHTTH) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(HHTTH) =	1
	32

P(HHTTH) = 0.03125

Calculate the probability of the following coin flip

HTHHT

Coin Toss Probability Formula

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

P(HTHHT) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(HTHHT) =	1
	32

P(HTHHT) = 0.03125

Calculate the probability of the following coin flip

HTHTH

Coin Toss Probability Formula

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

P(HTHTH) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(HTHTH) =	1
	32

P(HTHTH) = 0.03125

Calculate the probability of the following coin flip

HTTHH

Coin Toss Probability Formula

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

P(HTTHH) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(HTTHH) =	1
	32

P(HTTHH) = 0.03125

Calculate the probability of the following coin flip

THHHT

Coin Toss Probability Formula

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

P(THHHT) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(THHHT) =	1
	32

P(THHHT) = 0.03125

Calculate the probability of the following coin flip

THHTH

Coin Toss Probability Formula

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

P(THHTH) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(THHTH) =	1
	32

P(THHTH) = 0.03125

Calculate the probability of the following coin flip

THTHH

Coin Toss Probability Formula

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

P(THTHH) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(THTHH) =	1
	32

P(THTHH) = 0.03125

Calculate the probability of the following coin flip

TTHHH

Coin Toss Probability Formula

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

P(TTHHH) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(TTHHH) =	1
	32

P(TTHHH) = 0.03125

Calculate the probability of the following coin flip

HHHHT

Coin Toss Probability Formula

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

P(HHHHT) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(HHHHT) =	1
	32

P(HHHHT) = 0.03125

Calculate the probability of the following coin flip

HHHTH

Coin Toss Probability Formula

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

P(HHHTH) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(HHHTH) =	1
	32

P(HHHTH) = 0.03125

Calculate the probability of the following coin flip

HHTHH

Coin Toss Probability Formula

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

P(HHTHH) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(HHTHH) =	1
	32

P(HHTHH) = 0.03125

Calculate the probability of the following coin flip

HTHHH

Coin Toss Probability Formula

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

P(HTHHH) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(HTHHH) =	1
	32

P(HTHHH) = 0.03125

Calculate the probability of the following coin flip

THHHH

Coin Toss Probability Formula

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

P(THHHH) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(THHHH) =	1
	32

P(THHHH) = 0.03125

Calculate the probability of the following coin flip

HHHHH

Coin Toss Probability Formula

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

P(HHHHH) =	1 x 1 x 1 x 1 x 1
	2 x 2 x 2 x 2 x 2

P(HHHHH) =	1
	32

P(HHHHH) = 0.03125

Calculate final probability:

P(5 coin tosses with at least 2 heads) =	1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1
	32

P(5 coin tosses with at least 2 heads) =	26
	32

Our fraction portion is not reduced down completely. Using our GCF calculator, we see the Greatest Common Factor (GCF) of (26 and 32) is 2

Reducing top and bottom by 2, we get:

P(5 coin tosses with at least 2 heads) =	13
	16

Final Answers

P(5 coin tosses with at least 2 heads) = 0.8125

What is the Answer?

P(5 coin tosses with at least 2 heads) = 0.8125

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