Suppose we have a sample space S and two events A and B such that S= AUB and An B= Ø and an event E, Suppose we have the following results: • P(A) = 1/3 P(B) = 2/3 P(E|A) = 1/2 P(E|B) = 1/4 What is P(E) ? Write your answer as a single fraction of integers. For example, if the answer were 17/20 then enter 17/20 with no spaces or other symbols. You may reduce the fraction by cancelling factors common to the numerator and denominator but you do not need to do this.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 38E
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Using the law of total probabilty
0.
Suppose we have a sample space S and two events A and B such that
S = AU B
and
An B = Ø
and an event E,
Suppose we have the following results:
• P(A) = 1/3
P(B) = 2/3
. P(ΕΑ) 1/2
%3D
. Ρ(EB) 1/4
What is P (E) ?
Write your answer as a single fraction of integers. For example, if the answer were 17/20 then enter 17/20 with no spaces or other symbols. You may reduce the fraction by cancelling factors common to the numerator
and denominator but you do not need to do this.
Save
Transcribed Image Text:Using the law of total probabilty 0. Suppose we have a sample space S and two events A and B such that S = AU B and An B = Ø and an event E, Suppose we have the following results: • P(A) = 1/3 P(B) = 2/3 . P(ΕΑ) 1/2 %3D . Ρ(EB) 1/4 What is P (E) ? Write your answer as a single fraction of integers. For example, if the answer were 17/20 then enter 17/20 with no spaces or other symbols. You may reduce the fraction by cancelling factors common to the numerator and denominator but you do not need to do this. Save
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