Using the law of total probabilty Suppose we have a sample space S and two events A and B such that S = AUB and AnB= 0 and an event E, Suppose we have the following results: P(A) = 1/4 P(B) = 3/4 P(E|A) = 1/3 P(EB) = 2/3 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 cancelling factors common to the numerator and denominator but you do not need to do this.

Using the law of total probabilty Suppose we have a sample space S and two events A and B such that S = AUB and AnB= 0 and an event E, Suppose we have the following results: P(A) = 1/4 P(B) = 3/4 P(E|A) = 1/3 P(EB) = 2/3 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 cancelling factors common to the numerator and denominator but you do not need to do this.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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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