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50 red cars and 30 white and 20 blue what is the probability of 2 cars from the same colors ?

  • math -

    The probability would be red because it has the most cars

  • math -

    10

  • math -

    Your question is incomplete.

    Are you choosing 2 cars ? It doesn't say.

    Assume we are choosing 2 cars and you want the prob that they are both of the same colour.

    The could be RR or WW or BB

    prob(RR) = C(50,2)/C(100,2) = 1225/4950 = 49/198
    prob(WW) = C(30,2)/C(100,2) = 435/4950 = 29/330
    prob(BB) = C(20,2)/C(100,2) = 190/4950 = 19/495

    sum of those = 37/99

    prob of same colour = 37/99

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