(b) either zero or one probability. Explain your solution in details. Let E be an event. If E, EC are independent, show that the event E has

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Question
(a)
Row two fair dices, let X, Y be the two outcomes, and consider the point
P with coordinates (X, Y) E R² on the plane. What is the probability that the
distance between P and the origin (0,0) is ≤ 4?
(b)
Let E be an event. If E, EC are independent, show that the event E has
either zero or one probability. Explain your solution in details.
Transcribed Image Text:(a) Row two fair dices, let X, Y be the two outcomes, and consider the point P with coordinates (X, Y) E R² on the plane. What is the probability that the distance between P and the origin (0,0) is ≤ 4? (b) Let E be an event. If E, EC are independent, show that the event E has either zero or one probability. Explain your solution in details.
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