The odds of flipping a fair coin either heads or tails is 50%. The odds of rolling a six on a fair six sided die is 16.6% or 1 in 6. Let's suppose that we have three regular six sided dice. If you roll all three dice at the same time, what are the odds that the sum of the numbers that show up on you dice are a prime number?

Question

Mateo Mejia

Mathematics

30 January, 15:45

The odds of flipping a fair coin either heads or tails is 50%. The odds of rolling a six on a fair six sided die is 16.6% or 1 in 6. Let's suppose that we have three regular six sided dice. If you roll all three dice at the same time, what are the odds that the sum of the numbers that show up on you dice are a prime number?

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Answers (1)

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Stephen Richmond · Answer 1

P (sum is prime) = 73/216

Step-by-step explanation:

The minimum value of the sum will be 3 and maximum value will be 18. So the prime numbers in this range are 3, 5, 7, 11, 13, 17.

P (sum=3) = 1/216, P (sum=5) = 6/216, P (sum=7) = 15/216, P (sum=11) = 27/216, P (sum=13) = 21/216, P (sum=17) = 3/216.

The final probability will be sum of the above given probabilities.

Hence P (sum is prime) = 73/216