Probability Calculator

The probability calculator helps you to calculate the probability of an event with respect to all occurrances. The tool also figures out the probability for a single event, multiple events, two events, a series of events, and conditional events.

What Is Probability In Statistics?

“It is the likelihood of an independent event or more than one event occurring”

Probability Formulas:

Other Basic Equations:

The following probability formulas are based upon the likelihood of two independent random events A and B, such that:

The calculator above also considers these equations to either calculate the probability of events or of a certain event with respect to another.

Complements: (A’ & B’)

Suppose you have two probabilities as A and B such that:

• P(A’) = Probability of event denoted by P(A’) does not happen
• P(B’) = Probability of event denoted by P(B’) does not happen

Example:

If the probability of an exclusive event that Jack did not come to the college is 0.24, then the probability that Jack came to the college is:

P(A’) = 1 – P(A) = 1 – 0.24 = 0.76

Intersection of A & B:

Intersection means the joint probability of two or more events that exclusively occur at a time, as shown in the above Venn diagram.

Example:

Make a supposition that you have 15 marbles in a bag. Out of these, 3 are violet in color and 12 are red. What is the joint probability of all the marbles?

• Probability that the drawn marble is violet = 3/15 = 0.2
• Probability that the drawn marble is red = 12/15 = 0.8

The probability of drawing a red marble given that a violet marble is given as:

P(B|A) = 12/14

P(B|A) = 0.85

Intersection probability = P(A ∩ B) = P(A) × P(B|A) = (0.2) × (0.85) = 0.17

Union of A & B:

Union means the occurrence of all the exclusive independent events and is calculated by a probability calculator based on the expression:

P(A U B) = P(A) + P(B) – P(A ∩ B)

How To Make Use of Probability Calculator?

The calculator above is very simple to use. It needs certain commands as inputs to calculate results that include:

Data You Need To Enter:

• Select the type of probability you need to calculate
• Now provide the necessary values in their respective fields
• Tap Calculate

Outcomes You Will Get:

The probability calculator gives you the likelihood of the occurance of one independent random event with respect to another event. These results include:

• Probability of event that occurs P(A) and does not occur P(A’) in both decimal and percentage

With that, the calculator figures out likelihood of different probability matches that include:

• Both events occurring P(A ∩ B)
• Either events occurring P(A ∪ B)
• Conditional Probability P(A | B)
• Either events occurring P(A ∪ B)
• A or B occurs but not both P(AΔB)
• Neither A nor B occurring P((A∪B)’)
• B occurring but not A

Important Queries:

How Do You Find Probabilities With Percentages?

If you want to calculate a probability as a percentage, you ought to solve the problem as you normally would. It means you have to convert your answer into a percent.

If I Roll a Dice 6 Times What Is The Probability?

There is a 66.5 percent chance of it landing on a 6 at least once.

How Do I Convert Odds To Percentage?

• • Convert the given odd number to equivalent decimal notation
  • Multiply the decimal number with 100 to get percentage

Probability Table:

References:

From Wikipedia, the free encyclopedia – Probability Interpretations & Theory

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