Construct a Venn diagram for the problem. Fill in the four areas with the appropriate probabilities What is the probability that a person is neither a beginner nor riding regular? What is the probability that a person is either a beginner or has a rides regular?

A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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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 group of 30 people are going on a snowboarding trip to Mammoth. Twenty-five of them plan to snowboard at the beginner level – 12 who ride switch and 13 ride regular. The other 5 are going to snowboard the advanced black diamond runs – 2 who ride switch and 3 who ride regular. Let B be the event that you are going to ride the beginner runs. Let R be the event that you ride regular on your snowboard.

a. Construct a contingency table for the problem. Fill in all cells with the appropriate probabilities

 

Beginner Run (B)

Advance Run (Bc)

Total

Ride Regular (R)

     

Ride Switch (Rc)

     

Total

   

1

  1. Construct a Venn diagram for the problem. Fill in the four areas with the appropriate probabilities

  2. What is the probability that a person is neither a beginner nor riding regular?

  3. What is the probability that a person is either a beginner or has a rides regular?

  4. Given that a snowboarder is in the beginner run, what is the probability they are riding switch?

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