a) Here is the probability table for W. Value of W 1 Probability 1/4 3/8 1/4 1/8 Explain why p(W = 3) = 1/8. b) What is p(W > 1)? c) What is the expected value of W?

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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2 Consider the following game. A player rolls two fair four-sided dice and wins the difference between the two values.
Here are a few examples:
roll
W
(2,2)
(3, 2)
(2,4)
1
2
Let the random variable W be the amount won in a single play of the game.
a) Here is the probability table for W.
Value of W
1
2
3
Probability
1/4 3/8 1/4
1/8
Explain why p(W = 3) = 1/8.
b) What is p(W > 1)?
c) What is the expected value of W?
Transcribed Image Text:2 Consider the following game. A player rolls two fair four-sided dice and wins the difference between the two values. Here are a few examples: roll W (2,2) (3, 2) (2,4) 1 2 Let the random variable W be the amount won in a single play of the game. a) Here is the probability table for W. Value of W 1 2 3 Probability 1/4 3/8 1/4 1/8 Explain why p(W = 3) = 1/8. b) What is p(W > 1)? c) What is the expected value of W?
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