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A dartboard is divided into 9 equal-size sectors, numbered 1 through 9. A player throws a dart randomly at the dartboard, so that any point on the surface of the dartboard is equally likely to be hit. Let event E be that the dart hits an even-numbered sector and event F be that the dart hits sector 3. 3 2 a) Find P(E) and P (E'). b) Find P(F) and P(F'). 4 9 6 7 8 ..... a) P(E) = (Simplify your answer. Type an integer or a fraction.) P(E') = (Simplify your answer. Type an integer or a fraction.) c) P(F) = (Simplify your answer. Type an integer or a fraction.) P(F') =D (Simplify your answer. Type an integer or a fraction.)

A dartboard is divided into 9 equal-size sectors, numbered 1 through 9. A player throws a dart randomly at the dartboard, so that any point on the surface of the dartboard is equally likely to be hit. Let event E be that the dart hits an even-numbered sector and event F be that the dart hits sector 3. 3 2 a) Find P(E) and P (E'). b) Find P(F) and P(F'). 4 9 6 7 8 ..... a) P(E) = (Simplify your answer. Type an integer or a fraction.) P(E') = (Simplify your answer. Type an integer or a fraction.) c) P(F) = (Simplify your answer. Type an integer or a fraction.) P(F') =D (Simplify your answer. Type an integer or a fraction.)

Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter14: Counting And Probability
Section14.2: Probability
Problem 3E: The conditional probability of E given that F occurs is P(EF)=___________. So in rolling a die the...
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A dartboard is divided into 9 equal-size sectors, numbered 1 through 9. A player throws a dart randomly at the dartboard, so that any point on the surface of the dartboard is equally likely to be hit. Let event E be that the dart hits an even-numbered sector and event F be that the dart hits sector 3. 2 a) Find P(E) and P (E'). b) Find P(F) and P (F'). 4 1 9. 8 7 ..... a) P(E) = (Simplify your answer. Type an integer or a fraction.) P(E') =D (Simplify your answer. Type an integer or a fraction.) c) P(F) = %3D (Simplify your answer. Type an integer or a fraction.) P (F') =D %3D (Simplify your answer. Type an integer or a fraction.) 5
Transcribed Image Text:A dartboard is divided into 9 equal-size sectors, numbered 1 through 9. A player throws a dart randomly at the dartboard, so that any point on the surface of the dartboard is equally likely to be hit. Let event E be that the dart hits an even-numbered sector and event F be that the dart hits sector 3. 2 a) Find P(E) and P (E'). b) Find P(F) and P (F'). 4 1 9. 8 7 ..... a) P(E) = (Simplify your answer. Type an integer or a fraction.) P(E') =D (Simplify your answer. Type an integer or a fraction.) c) P(F) = %3D (Simplify your answer. Type an integer or a fraction.) P (F') =D %3D (Simplify your answer. Type an integer or a fraction.) 5
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