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PART A A football pundit states that the probability that UNC will beat NC State

ID: 3329058 • Letter: P

Question

PART A

A football pundit states that the probability that UNC will beat NC State is 0.4, while the probability that UNC will beat Duke is 0.8. Assuming the events are independent, what is the probability that A) UNC wins both games? B) UNC wins at least one game? C) UNC loses both games? N = UNC beats NC State N' = UNC does not beat NC State D = UNC beats Duke D' = UNC does not beat Duke Let: Match the given probability value or listed probability to find with the correct probability statement. A. P (NID) B. P(D) A) UNC wins both games? B) UNC wins at least one game? C) UNC loses both games C. P(N) E. PIN U D) G.P(NnD) 0.8

Explanation / Answer

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A) UNC wins both = P(N D) (G)

B) UNC wins at least D) (E)

C) UNC loses both = P(N' D') (D)