A die is weighted so that the probabilities of the six faces are: P(1)=a, P(2)=a,…

MATHEMATICS · Single correct · AP · AP Statistics · Probability Random Variables Distributions · Probability Random Variables Distributions

Problem

A die is weighted so that the probabilities of the six faces are: P(1)=a, P(2)=a, P(3)=a, P(4)=2a, P(5)=2a and P(6)=2a. Find the value of a that makes this a valid probability distribution. (a) 18\dfrac{1}{8} (b) 19\dfrac{1}{9} (c) 16\dfrac{1}{6} (d) 112\dfrac{1}{12}

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