A six- sided die is weighted so that rolling a two, four, or six is equally likely. In addition, rolling a one is twice as likely as rolling a two, rolling a three is 3 times as likely as rolling a one, and rolling and one and five are equally likely. What is the probability that an even number is rolled
A six- sided die is weighted so that rolling a two, four, or six is equally likely. In addition, rolling a one is twice as likely as rolling a two, rolling a three is 3 times as likely as rolling a one, and rolling and one and five are equally likely. What is the probability that an even number is rolled
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.8: Probabilities Of Disjoint And Overlapping Events
Problem 2C
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Question
A six- sided die is weighted so that rolling a two, four, or six is equally likely. In addition, rolling a one is twice as likely as rolling a two, rolling a three is 3 times as likely as rolling a one, and rolling and one and five are equally likely. What is the probability that an even number is rolled? Give your answer as a fraction.
Expert Solution
Step 1
Let x be the probability of getting two. Therefore we have
x | P(x) |
1 | 2x |
2 | x |
3 | 3(2x) =6x |
4 | x |
5 | 2x |
6 | x |
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