5. A fair eight-sided die has faces marked 1, 2, 3, 4, 5, 6, 7, 8. Th score when the die is thrown is the number on the face the die on. The die is thrown twice. Event A is 'one of the scores is 3 less than the other score'. Event B is 'the product of the scores is more than 29'. (a) List all the possible outcomes for A and B. (b) Find the probability of A.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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A fair eight-sided die has faces marked 1, 2, 3, 4, 5, 6, 7, 8. The
score when the die is thrown is the number on the face the die lands
on. The die is thrown twice.
Event A is 'one of the scores
Event B is 'the product of the scores is more than 29'.
5.
3 less than the other score'.
(a) List all the possible outcomes for A and B.
(b) Find the probability of A.
(c) Find the probability of B.
(d) Find the probability of A n B.
(e) Determine whether events A and B are independent.
Justify our answer.
Transcribed Image Text:A fair eight-sided die has faces marked 1, 2, 3, 4, 5, 6, 7, 8. The score when the die is thrown is the number on the face the die lands on. The die is thrown twice. Event A is 'one of the scores Event B is 'the product of the scores is more than 29'. 5. 3 less than the other score'. (a) List all the possible outcomes for A and B. (b) Find the probability of A. (c) Find the probability of B. (d) Find the probability of A n B. (e) Determine whether events A and B are independent. Justify our answer.
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