Rob Lee knows that he can compete successfully in a single track mountain bike race unless he gets a flat tire or his chain breaks. In such races, the probability of getting a flat is 0.2, of the chain breaking is 0.04, and of both occurring is 0.03. What is the probability that Rob completes the race successfully? Need Help? Read It Watch It

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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Rob Lee knows that he can compete successfully in a single track mountain bike race unless he gets a flat tire or his chain breaks.
In such races, the probability of getting a flat is 0.2, of the chain breaking is 0.04, and of both occurring is 0.03. What is the
probability that Rob completes the race successfully?
Need Help? Read It
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Transcribed Image Text:Rob Lee knows that he can compete successfully in a single track mountain bike race unless he gets a flat tire or his chain breaks. In such races, the probability of getting a flat is 0.2, of the chain breaking is 0.04, and of both occurring is 0.03. What is the probability that Rob completes the race successfully? Need Help? Read It Watch It
Expert Solution
Step 1

Let, 

     A = Rob Lee gets a flat tire

     B = Rob Lee's chain breaks

 

We are given the information

  P(A) = 0.2

  P(B) = 0.04

  P(A ∩ B) = 0.03

 

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