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Probability Calculator

Finding the probability between variables is now easy!

Probability Calculator Tool
Probability of Two Events

To find out the union, intersection, and other related probabilities of two independent events.

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Probability Solver for Two Events

Please provide any 2 values below to calculate the rest probabilities of two independent events.

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Probability of a Normal Distribution

Use the calculator below to find the area P shown in the normal distribution, as well as the confidence intervals for a range of confidence levels.

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Probability of a Series of Independent Events

Please provide any 2 values below to calculate the rest probabilities of a Series of Independent Events.

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Output
Probability of A NOT occuring: P(A') 0.5 Probability of A and B both occuring
Probability of B NOT occuring: P(B') 0.6 Probability of A and B both occuring
Probability of A and B both occuring: P(A∩B) 0.2 Probability of A and B both occuring
Probability that A or B or both occur: P(A∪B) 0.7 Probability of A and B both occuring
Probability that A or B occurs but NOT both: P(AΔB) 0.5 Probability of A and B both occuring
Probability of neither A nor B occuring: P((A∪B)') 0.3 Probability of A and B both occuring
Probability of A occuring but NOT B: 0.3 Probability of A and B both occuring
Probability of B occuring but NOT A: 0.2 Probability of A and B both occuring
P(A') =  1 - P(A)
=  1 - 0.5
=  0.5
P(B') =  1 - P(B)
=  1 - 0.5
=  0.6
P(A∩B) =  P(A) × P(B)
=  0.5 × 0.5
=  0.2
P(A∪B) =  P(A) + P(B) - P(A∩B)
=  0.5 + 0.5 - 0.2
=  0.7
P(AΔB) =  P(A) + P(B) - 2P(A∩B)
=  0.5 + 0.4 - 2×0.2
=  0.5
P((A∪B)') =  1 - P(A∪B)
=  1 - 0.7
=  0.3
P(A occur but NOT B) =  P(A) × (1- P(B))
=  0.5 × (1 - 0.4)
=  0.3
P(B occur but NOT A) =  (1 - P(A)) × P(B)
=  (1 - 0.5) × 0.4
=  0.2

Given: P(A)=0.5 & P(A∩B)=0.4

P(A) = 
P(A∪B) - P(B)
1 - P(B)
 = 
0.6 - 0.6
1 - 0.6
=  0.2
P(B) = 
P(AΔB) - P(A)
1 - 2P(A)
= 
0.5 - 0.1
1 - 2×0.1
=  0.5
P(B) = 
P(A∩B)
P(A)
= 
0.4
0.5
=  0.8
P(A') =  1 - P(A)
=  1 - 0.5
=  0.5
P(A) =  1 - P(A')
=  1 - 0.5
=  0.5
P(B) =  1 - P(B')
=  1 - 0.5
=  0.5
P(A) = 
P(A∩B)
P(B)
= 
0.4
0.5
=  0.8
P(A∪B) =  1 - P((A∪B)')
=  1 - 0.6
=  0.4
P(B) = 
P(A∪B) - P(A)
1 - P(A)
 = 
0.9 - 0.4
1 - 0.4
=  0
P(A) = 
P(AΔB) - P(B)
1 - 2P(B)
= 
0.6 - 0.4
1 - 2×0.4
= 
P(A) = 
P(A∩B)
P(B)
= 
0.3
0.4
=  0.75
P(B) = 
P(A∩B)
P(A)
= 
0.4
0.5
=  0.8
P(A∩B) =  P(A) × P(B)
=  0.5 × 0.8
=  0.2
P(A∪B) =  P(A) + P(B) - P(A∩B)
=  0.5 + 0.8 - 0.4
=  0.9
P(AΔB) =  P(A) + P(B) - 2P(A∩B)
=  0.5 + 0.8 - 2×0.4
=  0.5
P(A') =  1 - P(A)
=  1 - 0.5
=  0.5
P(B') =  1 - P(B)
=  1 - 0.8
=  0.2
P((A∪B)') =  1 - P(A∪B)
=  1 - 0.9
=  0.1
ConfidenceRangen
0.6828-1.00000–1.000001
0.80-1.28155–1.281551.281551565545
0.90-1.64485–1.644851.644853626951
0.95-1.95996–1.959961.959963984540
0.98-2.32635–2.326352.326347874041
0.99-2.57583–2.575832.575829303549
0.995-2.80703–2.807032.807033768344
0.998-3.09023–3.090233.090232306168
0.999-3.29053–3.29053 3.290526731492
0.9999-3.89059–3.890593.890591886413
0.99999-4.41717–4.417174.417173413469

Note

  • Mention the values of A in the P(A) box.
  • Mention the values of B in the P(B) box.
  • Click on “CALCULATE” to generate the probable relation between 2 events.

What Is A Probability Calculator?

A probability calculator is an online tool that makes your probability-related mathematical calculations way lot easier.

With our probabilities calculator tool, you not only get instant solutions for the sums but also a stepwise breakage of the solution. Yes, our probabilities calculator provides solutions with steps.Hence, if you are looking for a probabilities calculator, give our tool a try. We guarantee that you won't be disappointed.

Why Is A Probabilities Calculator Important For Students?

When you sit to solve probabilities calculator sums manually, it will take you long hours. But if you use calculating tools like our probability calculator, it can ease the pressure on you.

Students who use the tool state the following problems as reasons why they take the help of a empirical probability calculator.

  • To save time– Besides mathematics, students have other subjects to prepare for as well. Hence, giving all the time to math alone is inconvenient for them. In such cases, availing tools like probabilities calculator is of great use to the students.
  • For accurate results– Often, even after minute calculations, students do not get the desired results of probabilities Calculator problems. To be specific, they do not get the correct results. To solve this situation, it is better they use a empirical probability calculator and get appropriate results, rather than redoing the entire sum every time they get some wrong result.

Surely you will also be able to relate to these problems. If yes, please do not waste any more time and avail of our and get easy solutions.

Get Assistance

How To Use A Conditional Probability Calculator?

No complicated processes are involved. In a few clicks, our conditional probability calculator will solve your problems and provide you with solutions. You need to take the following steps to get an answer.

  • Choose the topic– Our cumulative probabilities calculator is designed in a way that it can solve different types of problems and questions. Hence, you have to choose the topic of your problem from the drop-down box.
  • Enter the values– Then fill in the values which will be used in solving the sum. Carefully insert the values because the wrong values can give you incorrect results.
  • Click and wait– The last step is that you click on the calculate button and then wait for the results. The experimental probability calculator will perform the required calculations and show you the results.

By just following the above-mentioned steps, you can use our conditional probability calculator to solve the long list of sums assigned to you.

What Are The Different Types Of Probability Calculators, And How Do They Work?

Our conditional probability calculator is capable of calculating different types of probability sums. It can calculate all three types of probability – experimental, binomial and cumulative. Hence one calculator serves the role of all three – cumulative, experimental and binomial probability calculator. Basic formulas for all three types of probability solver are mentioned below.

Experimental Probability Calculator

Experimental probability solver is found by repeating an experiment and observing the outcomes.

Below is the formula with an example:

example

Example – A coin is tossed 10 times. A head is recorded 7 times and a tail 3 times.

In that case,

P (Head) = 7/10

P (Tail) = 3/10

Binomial Probability Calculator

Binomial distribution refers to the probability distribution between two factors in the form of percentage.

Example: The probability that at most 2 households have a soccer ball is:

soccer ball

Cumulative Probability Calculator

Below is a table that highlights how cumulative probability is shown.

soccer ball

All three types of cumulative probability calculator calculations are quite difficult and confusing. But you can now avoid all the headaches and use our cumulative, binomial or experimental probability calculator tool for accurate solutions in a click.

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MyAssignmenthelp.Com Offers You The Best Probability Calculator

There are many assignment writing services available over the internet today. But not all of them offer you detailed tools like a conditional probability calculator. Genuinely we understand the in-depth requirements of students and hence take the initiative of bringing such tools to you. Not only that, but we also tend to make it as much hassle-free as possible. Our probability calculator is popular among students because of other reasons as well –

No headache of a service charge – Our conditional cumulative probability calculator is absolutely free of cost. No money will be charged no matter how many times you use the tool. 

Hassle free application – To date, many students have used our empirical probability calculator, and everybody has gushed about the easy interface of the tool. All you need is 3 steps to reach to the correct answer. 

No chances of malware infection – You can use our empirical probability calculator without even downloading it. Hence eradicating all scopes and chances of virus or malware infection in your system. 

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Frequently Asked Questions-

Ans.The probability of p(a b) calculatormeans that we want to know the probability of two events happening at the same time.

Formula - Formula for the p(a b) calculator (independent events): p(A and B) = p(A) * p(B).

Ans.Conditional probability is calculated by multiplying the probability of the preceding event by the probability of the succeeding or conditional event.

Ans.

  • Enter the total number of items in the set.
  • Tap on the press button to access the Math Probability menu.
  • Press [2] to evaluate a permutation or press [3] to evaluate a combination.
  • Enter the number of items selected from the list.
  • Click Enter to get the result.

Ans.The standard normal probability between random variables lies between two values, and the formula to find it is P(a < Z < b) = P(Z < b) - P(Z < a).

If you find this formula complex, you can use our probability calculator to solve your problems.

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