Answer to Question #225974 in Statistics and Probability for Mustafa Zaidi

Question

Determine the probability of rolling a power of 2 or a multiple of 3 with a single 12-sided die. Leave your answer in a reduced fraction. Show evidence of your work by typing out your full solution.

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Answer 1

Total outcomes = {1,2,3,4,5,6,7,8,9,10,11,12}

Favourable outcomes = power of 2 OR multiple of 3

Outcomes (power of 2) = {2,4,8}

n₁=3

Outcomes (multiple of 3) = {3,6,9,12}

n₂=4

There are 3+4=7 favourable outcomes.

P(rolling a power of 2 or a multiple of 3) $= \frac{7}{12}$