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Probability Formulas

Probability deals with the measure or estimation of events that are likely to happen. In mathematics, probability is the calculation of uncertainty.

We have few basic formals that are used to calculate the probability and they are stated as:

Probability Formulas


Addition Rule

Mutlitiplicate Rule

Dependent Events

Bayes Formula 

Related Calculators
Calculation of Probability Binomial Distribution Probability Calculator
Binomial Probability Calculator Coin Toss Probability Calculator
 

Probability Problems

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Below are the problems on based on probability :

Solved Examples

Question 1: Calculate the probability of getting an odd number if a die is rolled?

Solution:
 
Sample space(S) if a die is rolled = {1, 2, 3, 4, 5, 6}
Let "E" be the event of getting an odd number, E = {1, 3, 5}
So, the Probability of getting an odd number P(E) = $\frac{Number\ of\ outcomes\ favorable}{Total\ number\ of\ outcomes}$ = $\frac{n(E)}{n(S)}$ = $\frac{3}{6}$ = $\frac{1}{2}$

 

Question 2: If two coins are tossed, then calculate the probability of getting two tails?

Solution:
 
Sample space(S), when two coins are tossed = {(H, H), (H, T), (T, H), (T, T) } = 4
Let "E" is the event of getting an odd number, E = {(T, T)} = 1
So, the Probability of getting an odd number P(E) = $\frac{Number\ of\ outcomes\ favorable}{Total\ number\ of\ outcomes}$ = $\frac{n(E)}{n(S)}$ = $\frac{1}{4}$

 

More topics in Probability Formulas
Conditional Probability Formula Probability Distribution Formula
Binomial Probability Formula Skewness Formula
Exponential Distribution Formula Hypergeometric Distribution Formula
Geometric Distribution Formula Coin Toss Probability Formula
Bayes Theorem Formula Empirical Probability Formula
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