Question #191101

A bowl contains 12 different flavored candies (4 chocolate, 5 strawberry and 3 menthol). A child takes 6 candies at random. What is the probability that the child took 2 of each flavor?

Expert's answer

Number of ways 6 candies to be chosen from 12 ="12C6"

The probability that the child took 2 of each flavor

"\\frac{4C2*5C2*3C2}{12C6}"

"\\frac{\\frac{4*3}{2*1}*\\frac{5*4}{2*1}*\\frac{3*2}{2*1}}{\\frac{12*11*10*9*8*7}{6*5*4*3*2*1}}"

"\\frac{6*10*3}{11*4*3*7}"

"\\frac{15}{77}"

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