Technical Calculator

Probability Calculator

Write down a single or multiple independent events and the calculator will compute their single or conditional probability, with the steps shown.

Home > Statistics > Probability Calculator

The chance calculator helps you to calculate the opportunity of an occasion with recognize to all occurrances. The device additionally figures out the opportunity for a single occasion, more than one activities, occasions, a chain of occasions, and conditional events.

What is chance In information?

“It is the probability of an impartial occasion or a couple of event taking place”

Opportunity formulation:

General:

P (A) = Number of Favorable Outcome / Total Number of Favorable Outcomes

OR

P(A) = n(E)/n(S)

Where;

  • P(A) = Probability of an event ‘A’
  • n(E) = Number of favorable outcome
  • n(S) = Number of exclusive events in the sample place

Other Basic Equations:

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

Probability Range:

0 ≤ P(A) ≤ 1

Rule of Addition:

P(A∪B) = P(A) + P(B) – P(A∩B)

Rule of Complementary Events:

P(A’) + P(A) = 1

Disjoint Events:

P(A∩B) = 0

Independent Random Events:

P(A∩B) = P(A) ⋅ P(B)

Conditional Probability:

P(A | B) = P(A∩B) / P(B)

Bayes Formula:

P(A | B) = P(B | A) ⋅ P(A) / P(B)

The calculator above additionally considers those equations to either calculate the possibility of events or of a sure event with appreciate to every other. .

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 probability

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:

Unioon of probabilities

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)

Example:

Suppose you rolled a dice for which you need to calculate the probability that the number rolled is either odd or multiple of 2. So we have:

Dice Set = {1, 2, 3, 4, 5, 6}

Probability of an odd number:

P(A) = {1, 3, 5} = 3/6 = 1/2 = 0.5

Probability of multiple of 2:

P(B) = {2, 4, 6} = 3/6 = 1/2 = 0.5

P(A ∩ B) = 0

So we have:

P(A U B) = P(A) + P(B) - P(A ∩ B)

P(A U B) = 0.5 + 0.5 - 0

P(A U B) = 1

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:

z 0 0.01 0.02 0.03 0.04 0.05 0.06 0.07 0.08 0.09
0 0 0.00399 0.00798 0.01197 0.01595 0.01994 0.02392 0.0279 0.03188 0.03586
0.1 0.03983 0.0438 0.04776 0.05172 0.05567 0.05962 0.06356 0.06749 0.07142 0.07535
0.2 0.07926 0.08317 0.08706 0.09095 0.09483 0.09871 0.10257 0.10642 0.11026 0.11409
0.3 0.11791 0.12172 0.12552 0.1293 0.13307 0.13683 0.14058 0.14431 0.14803 0.15173
0.4 0.15542 0.1591 0.16276 0.1664 0.17003 0.17364 0.17724 0.18082 0.18439 0.18793
0.5 0.19146 0.19497 0.19847 0.20194 0.2054 0.20884 0.21226 0.21566 0.21904 0.2224
0.6 0.22575 0.22907 0.23237 0.23565 0.23891 0.24215 0.24537 0.24857 0.25175 0.2549
0.7 0.25804 0.26115 0.26424 0.2673 0.27035 0.27337 0.27637 0.27935 0.2823 0.28524
0.8 0.28814 0.29103 0.29389 0.29673 0.29955 0.30234 0.30511 0.30785 0.31057 0.31327
0.9 0.31594 0.31859 0.32121 0.32381 0.32639 0.32894 0.33147 0.33398 0.33646 0.33891
1 0.34134 0.34375 0.34614 0.34849 0.35083 0.35314 0.35543 0.35769 0.35993 0.36214
1.1 0.36433 0.3665 0.36864 0.37076 0.37286 0.37493 0.37698 0.379 0.381 0.38298
1.2 0.38493 0.38686 0.38877 0.39065 0.39251 0.39435 0.39617 0.39796 0.39973 0.40147
1.3 0.4032 0.4049 0.40658 0.40824 0.40988 0.41149 0.41308 0.41466 0.41621 0.41774
1.4 0.41924 0.42073 0.4222 0.42364 0.42507 0.42647 0.42785 0.42922 0.43056 0.43189
1.5 0.43319 0.43448 0.43574 0.43699 0.43822 0.43943 0.44062 0.44179 0.44295 0.44408
1.6 0.4452 0.4463 0.44738 0.44845 0.4495 0.45053 0.45154 0.45254 0.45352 0.45449
1.7 0.45543 0.45637 0.45728 0.45818 0.45907 0.45994 0.4608 0.46164 0.46246 0.46327
1.8 0.46407 0.46485 0.46562 0.46638 0.46712 0.46784 0.46856 0.46926 0.46995 0.47062
1.9 0.47128 0.47193 0.47257 0.4732 0.47381 0.47441 0.475 0.47558 0.47615 0.4767
2 0.47725 0.47778 0.47831 0.47882 0.47932 0.47982 0.4803 0.48077 0.48124 0.48169
2.1 0.48214 0.48257 0.483 0.48341 0.48382 0.48422 0.48461 0.485 0.48537 0.48574
2.2 0.4861 0.48645 0.48679 0.48713 0.48745 0.48778 0.48809 0.4884 0.4887 0.48899
2.3 0.48928 0.48956 0.48983 0.4901 0.49036 0.49061 0.49086 0.49111 0.49134 0.49158
2.4 0.4918 0.49202 0.49224 0.49245 0.49266 0.49286 0.49305 0.49324 0.49343 0.49361
2.5 0.49379 0.49396 0.49413 0.4943 0.49446 0.49461 0.49477 0.49492 0.49506 0.4952
2.6 0.49534 0.49547 0.4956 0.49573 0.49585 0.49598 0.49609 0.49621 0.49632 0.49643
2.7 0.49653 0.49664 0.49674 0.49683 0.49693 0.49702 0.49711 0.4972 0.49728 0.49736
2.8 0.49744 0.49752 0.4976 0.49767 0.49774 0.49781 0.49788 0.49795 0.49801 0.49807
2.9 0.49813 0.49819 0.49825 0.49831 0.49836 0.49841 0.49846 0.49851 0.49856 0.49861
3 0.49865 0.49869 0.49874 0.49878 0.49882 0.49886 0.49889 0.49893 0.49896 0.499
3.1 0.49903 0.49906 0.4991 0.49913 0.49916 0.49918 0.49921 0.49924 0.49926 0.49929
3.2 0.49931 0.49934 0.49936 0.49938 0.4994 0.49942 0.49944 0.49946 0.49948 0.4995
3.3 0.49952 0.49953 0.49955 0.49957 0.49958 0.4996 0.49961 0.49962 0.49964 0.49965
3.4 0.49966 0.49968 0.49969 0.4997 0.49971 0.49972 0.49973 0.49974 0.49975 0.49976
3.5 0.49977 0.49978 0.49978 0.49979 0.4998 0.49981 0.49981 0.49982 0.49983 0.49983
3.6 0.49984 0.49985 0.49985 0.49986 0.49986 0.49987 0.49987 0.49988 0.49988 0.49989
3.7 0.49989 0.4999 0.4999 0.4999 0.49991 0.49991 0.49992 0.49992 0.49992 0.49992
3.8 0.49993 0.49993 0.49993 0.49994 0.49994 0.49994 0.49994 0.49995 0.49995 0.49995
3.9 0.49995 0.49995 0.49996 0.49996 0.49996 0.49996 0.49996 0.49996 0.49997 0.49997
4 0.49997 0.49997 0.49997 0.49997 0.49997 0.49997 0.49998 0.49998 0.49998 0.49998