A not very skillful dart player throws two darts at the board pictured below. Assume that he will always hit the board, and that his throws are independent. The probability of a dart landing in any particular region is proportional to the area of the region. The final score Y is defined to be the product of the points assigned to the regions where the two darts land. 1. 2d 3d a) List the sample space of this experiment. d, line b) Compute P(Y= 4). c) Create a probability distribution table for this random variable.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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A not very skillful dart player throws two darts at the board pictured below. Assume that he will
1 always hit the board, and that his throws are independent. The probability of a dart landing in any
particular region is proportional to the area of the region. The final score Y is defined to be the
product of the points assigned to the regions where the two darts land.
1.
2d
3d
a)
List the sample space of this experiment.
Supe
nd line
b)
Compute P(Y 4).
Create a probability distribution table for this random variable.
Fodthe
c)
Transcribed Image Text:A not very skillful dart player throws two darts at the board pictured below. Assume that he will 1 always hit the board, and that his throws are independent. The probability of a dart landing in any particular region is proportional to the area of the region. The final score Y is defined to be the product of the points assigned to the regions where the two darts land. 1. 2d 3d a) List the sample space of this experiment. Supe nd line b) Compute P(Y 4). Create a probability distribution table for this random variable. Fodthe c)
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