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.

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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= 6
and an event E,
Suppose we have the following results:
P(A) = 1/4
P(B) = 3/4
P(퍼A)- 1/3
P(퍼B)= 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 by
cancelling factors common to the numerator and denominator but you do not need to do this.
Transcribed Image Text: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= 6 and an event E, Suppose we have the following results: P(A) = 1/4 P(B) = 3/4 P(퍼A)- 1/3 P(퍼B)= 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 by cancelling factors common to the numerator and denominator but you do not need to do this.
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