Coin Toss Probability Calculator
Calculate the probability of flipping a coin 5 times with at least 2 headsThis is equivalent to saying (2 or 3 or 4 or 5) heads
List out ways to flip 2 heads and 3 tails
HHTTTHTHTT
HTTHT
HTTTH
THHTT
THTHT
THTTH
TTHHT
TTHTH
TTTHH
List out ways to flip 3 heads and 2 tails
HHHTTHHTHT
HHTTH
HTHHT
HTHTH
HTTHH
THHHT
THHTH
THTHH
TTHHH
List out ways to flip 4 heads and 1 tail
HHHHTHHHTH
HHTHH
HTHHH
THHHH
List out ways to flip 5 heads and 0 tail
HHHHHCalculate 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
Coin Toss Probability Calculator Video
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