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Table of Content
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.
“It is the likelihood of an independent event or more than one event occurring”
P (A) = Number of Favorable Outcome / Total Number of Favorable Outcomes
OR
P(A) = n(E)/n(S)
Where;
The following probability formulas are based upon the likelihood of two independent random events A and B, such that:
0 ≤ P(A) ≤ 1
P(A∪B) = P(A) + P(B) – P(A∩B)
P(A’) + P(A) = 1
P(A∩B) = 0
P(A∩B) = P(A) ⋅ P(B)
P(A | B) = P(A∩B) / P(B)
P(A | B) = P(B | A) ⋅ P(A) / P(B)
The calculator above also considers these equations to either calculate the probability of events or of a certain event with respect to another.
Suppose you have two probabilities as A and B such that:
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 means the joint probability of two or more events that exclusively occur at a time, as shown in the above Venn diagram.
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?
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 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)
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
The calculator above is very simple to use. It needs certain commands as inputs to calculate results that include:
Data You Need To Enter:
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:
With that, the calculator figures out likelihood of different probability matches that include:
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.
There is a 66.5 percent chance of it landing on a 6 at least once.
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 |
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