Answer the following conceptual questions about probability.   a) Suppose your friend Rudy says that the probability it rains tomorrow is 125 percent. Is Rudy’s statement coherent? Explain your answer.   b) Suppose Rudy assigns probability 0.3 to the sentence (P → Q ). What probability should Rudy assign to the sentence (~P  ∨ Q )? Explain your answer.   c) Suppose Rudy buys a lottery ticket. You say, “Don’t you know how unlikely it is that you’ll win?” Rudy replies, “Either I’ll win or I won’t, so there’s a 50% chance!” Is Rudy correct? What might you say to Rudy in this case?

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 7CC
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Answer the following conceptual questions about probability.

 

a) Suppose your friend Rudy says that the probability it rains

tomorrow is 125 percent. Is Rudy’s statement coherent? Explain

your answer.

 

b) Suppose Rudy assigns probability 0.3 to the sentence (PQ ).

What probability should Rudy assign to the sentence (~P  ∨ Q )?

Explain your answer.

 

c) Suppose Rudy buys a lottery ticket. You say, “Don’t you know

how unlikely it is that you’ll win?” Rudy replies, “Either I’ll win

or I won’t, so there’s a 50% chance!” Is Rudy correct? What might

you say to Rudy in this case?

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