A bag contains 10 red balls, 10 green balls and 6 white balls. Two balls are drawn at random from th

Discussion in 'Calculator Requests' started by math_celebrity, Jan 8, 2017.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A bag contains 10 red balls, 10 green balls and 6 white balls. Two balls are drawn at random from the bag without replacement. What is the probability that they are of different colours?
    • The key phrase here is without replacement.
    • First, it's easier to find the probability of both colors matching, and then subtracting that from 1.
    We want 1 - (P(Red-Red) + P(Green-Green) + P(White-White)). So we have the following:

    Find the probability of both colors matching
    P(Red-Red) = 10/26 * 9/25 = 0.138462
    P(Green-Green) = 10/26 * 9/25 = 0.138462
    P(White-White) = 6/26 * 5/25 = 0.046154
    P(Red-Red) + P(Green-Green) + P(White-White) = 0.13846 + 0.13846 + 0.046154 = 0.3231

    Now, we want to take the complement of this probability which is no colors matching, so we have:
    P(Both Different Colors) = 1 - P(Same Colors)
    P(Both Different Colors) = 1 - 0.3231
    P(Both Different Colors) = 0.6769

Share This Page

Related pages

square root fractions calculatorconfidence interval calculator margin of errorsimplify fraction expression calculatordirect and inverse variation formulasthe reflexive propertyperiodic table element agclassification of triangles by sidesvariable calculator with fractionshow to calculate markup formulacombination permutationquadratic formula inputsolve system of equations calculatorcups litersstoichiometric calculatorexpand and simplify calculator with stepsfactor the binomial calculatorinterval in set builder notationgcf calculator algebramath annuity calculatortwo consecutive integers calculatortan of 2pimultiplying monomials by monomialshootsuite conversationsellipse equation calculatorevaluating algebraic expressions calculatorfraction calculator algebramix fraction calculatorequation of the axis of symmetry calculatorlinear equations calculator with fractionsdistance calculator physicsunicode calculatorhow to calculate degrees of freedom in excelaverage iq for an adultsimplify imaginary numbers calculatortrihybrid calculatorfeetlessgcf of 144 and 192lcm multiple calculatorcalculate bet returnstwo consecutive even integerssampling distribution of the sample mean calculatormilliters to liters2 step equation word problems and answerscommision math problemscosine of 2 pisubtracting absolute value512 cubedcalories in pintshow to count in cribbagethe combined gas law exampleshow to convert milliliters to microlitersperpendicular equation solverdefine gcfformula of arrprime factorization calculatorprime composite calculatorelement sn periodic tableevaluating fractions with exponentssolving variables on both sides calculatortrinomial in mathcalculate markdowncommon multiples of 15 and 25how many calories are in a pint of ice creammulti step equations solvercomplementay anglesalgebra 2 distance rate time problemscosine calcordered pair calculatorsolve the polynomial inequality calculator3sqrtconverting logarithmic equations to exponential equationscomplementary angle formulahow to calculate nominal interest rate formula