This is equivalent to saying (0 or 1) heads
List out ways to flip 0 head and 9 tails
TTTTTTTTTList out ways to flip 1 head and 8 tails
HTTTTTTTTTHTTTTTTT
TTHTTTTTT
TTTHTTTTT
TTTTHTTTT
TTTTTHTTT
TTTTTTHTT
TTTTTTTHT
TTTTTTTTH
Calculate each coin toss sequence probability:
Calculate the probability of the following coin flip
TTTTTTTTT
Coin Toss Probability Formula
Probability of each coin toss is 1/2, so we have:
P(TTTTTTTTT) = | 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 |
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 |
P(TTTTTTTTT) = | 1 |
512 |
P(TTTTTTTTT) = 0.001953125
Calculate the probability of the following coin flip
HTTTTTTTT
Coin Toss Probability Formula
Probability of each coin toss is 1/2, so we have:
P(HTTTTTTTT) = | 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 |
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 |
P(HTTTTTTTT) = | 1 |
512 |
P(HTTTTTTTT) = 0.001953125
Calculate the probability of the following coin flip
THTTTTTTT
Coin Toss Probability Formula
Probability of each coin toss is 1/2, so we have:
P(THTTTTTTT) = | 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 |
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 |
P(THTTTTTTT) = | 1 |
512 |
P(THTTTTTTT) = 0.001953125
Calculate the probability of the following coin flip
TTHTTTTTT
Coin Toss Probability Formula
Probability of each coin toss is 1/2, so we have:
P(TTHTTTTTT) = | 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 |
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 |
P(TTHTTTTTT) = | 1 |
512 |
P(TTHTTTTTT) = 0.001953125
Calculate the probability of the following coin flip
TTTHTTTTT
Coin Toss Probability Formula
Probability of each coin toss is 1/2, so we have:
P(TTTHTTTTT) = | 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 |
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 |
P(TTTHTTTTT) = | 1 |
512 |
P(TTTHTTTTT) = 0.001953125
Calculate the probability of the following coin flip
TTTTHTTTT
Coin Toss Probability Formula
Probability of each coin toss is 1/2, so we have:
P(TTTTHTTTT) = | 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 |
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 |
P(TTTTHTTTT) = | 1 |
512 |
P(TTTTHTTTT) = 0.001953125
Calculate the probability of the following coin flip
TTTTTHTTT
Coin Toss Probability Formula
Probability of each coin toss is 1/2, so we have:
P(TTTTTHTTT) = | 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 |
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 |
P(TTTTTHTTT) = | 1 |
512 |
P(TTTTTHTTT) = 0.001953125
Calculate the probability of the following coin flip
TTTTTTHTT
Coin Toss Probability Formula
Probability of each coin toss is 1/2, so we have:
P(TTTTTTHTT) = | 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 |
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 |
P(TTTTTTHTT) = | 1 |
512 |
P(TTTTTTHTT) = 0.001953125
Calculate the probability of the following coin flip
TTTTTTTHT
Coin Toss Probability Formula
Probability of each coin toss is 1/2, so we have:
P(TTTTTTTHT) = | 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 |
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 |
P(TTTTTTTHT) = | 1 |
512 |
P(TTTTTTTHT) = 0.001953125
Calculate the probability of the following coin flip
TTTTTTTTH
Coin Toss Probability Formula
Probability of each coin toss is 1/2, so we have:
P(TTTTTTTTH) = | 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 x 1 |
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 |
P(TTTTTTTTH) = | 1 |
512 |
P(TTTTTTTTH) = 0.001953125
Calculate final probability:
P(9 coin tosses with no more than 1 heads) = | 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 |
512 |
P(9 coin tosses with no more than 1 heads) = | 10 |
512 |
Our fraction portion is not reduced down completely. Using our GCF calculator, we see the Greatest Common Factor (GCF) of (10 and 512) is 2
Reducing top and bottom by 2, we get:
P(9 coin tosses with no more than 1 heads) = | 5 |
256 |
Final Answers
P(9 coin tosses with no more than 1 heads) = 0.01953125
You have 1 free calculations remaining
What is the Answer?
P(9 coin tosses with no more than 1 heads) = 0.01953125
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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