For a certain 6-sided die, the probabilities or rolling a 1, 2, 3, 4, 5, or 6 are in the respective ratios 1:3:6:10:15:21. Two such dice are rolled. What is the probability that their sum is a prime number?

For a certain 6-sided die, the probabilities or rolling a 1, 2, 3, 4, 5, or 6 are in the respective ratios 1:3:6:10:15:21. Two such dice are rolled. What is the probability that their sum is a prime number?

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter8: Sequences, Series, And Probability

Section8.7: Probability

Problem 35E: Find the probability of each event. Rolling a sum of 11 on one roll of three dice

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Question

For a certain 6-sided die, the probabilities or rolling
a 1, 2, 3, 4, 5, or 6 are in the respective ratios 1:3:6:10:15:21.
Two such dice are rolled.
What is the probability that their sum is a prime number?

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Step 2: All individials probability:

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Step 3: Probability of prime number:

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Step 4: Contuining:

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