Probability of a Union of 3 Events

If you have 3 events A, B, and C, and you want to calculate the union of both events, use this calculator. This also calculates P(A), P(B), P(C), P(A Intersection B), P(A Intersection C), P(B Intersection C), and P(A Intersection B Intersection C). The formula for the union Probability of A or B or C is denoted as:

P(A U B U C) = P(A) + P(B) + P(C) - P(A Intersection B) - P(A Intersection C) - P(B Intersection C) + P(A Intersection B Intersection C).

EXAMPLE: You sponsor a ticket contest. It's not stated that people can draw 1 or 2 tickets, you just sit back and let them draw. The probability of a person picking red is 0.44. The probability of a person picking blue is 0.24. The probability of a person picking yellow is 0.21. The probability the person draws a red and blue is 0.08. The probability a person draws a red and yellow is 0.11. The probability a person draws a blue and yellow is 0.07. What is the probability that a person draws at least 1 of the colors, red, blue, or green? Let A be a red draw, B be a blue draw, and C be a yellow draw.

Press P(A U B U C) and enter .44 or 0.44 for P(A), .24 or 0.24 for P(B), and .21 or 0.21 for P(C), .08 or 0.08 for P(A Intersection B), .11 or 0.11 for P(A Intersection C), and .07 or 0.07 for P(B Intersection C). Press Calculate and your answer is 0.660.

Related pages

radius and center of a circle calculatorwrite an equation in point slope form calculatorradicals calculator with variablesmath simplifier calculatorlogic simplification calculatorln identitiesqudratic calculatorremainder theorem solvercalculator asvab29.5735296 millilitersroulette calculatorconvert base 10 to binary calculatorprobability of card handshow to do fractional exponents without a calculatorfinding the perimeter of a parallelogramsolve quadratic inequalities calculatorsystems of equations calculatorhootsuite single sign onnegative exponents solverirr calculaterword scramblercalculator antilogword scrambeler1-50 roman numeralssolve integer exponents calculatorcalculator mixed fractionscalculating area of a quadrilateralequation finder from pointsmilliliters to deciliterselapsed time calculator hoursradical root calculatorfactor out gcf of polynomial calculatorrenting a rototillercritical value in chi squareyahtzee odds calculatorwrite each fraction in simplest form calculatormultiplication of radicalsimplify a radical calculatorunion interval notationa math website that solves equationslong division polynomials calculatorpoker hand probability calculatorhow to work out fractional powersfactorization of 120rate formula algebrainterval notation graph examplesmean mode median standard deviation calculatorfind horizontal asymptote calculatorsolve system of equations by substitution calculatordefinition of antilogarithmfind the missing number in a fraction calculatortriangle side solverslope intercept graph calculator200 db depreciation calculatoradwords advanced exam52 card deck possible combinationsloge lnnormalcdf online calculatorthree fraction calculatoralgebra fraction calculator with variablesequation calculator with fractionsdividing polynomials with remainders calculatorrange variance standard deviation calculatorsimplify a complex fraction calculatorstandard variance calculatorroman numeral for 89liter kilogreatest factor calculatorexponential growth model calculatordistributive property of integerssquare root as an exponentopposites numberssquare root of 8100rational root theorem calculatordistribute calculatorroman numeral cmaccounting fifo and lifomultiplying a monomial by a monomialdistance midpoint calculatordistance and midpoint formula calculator