Consider 3 events as illustrated in the following Venn diagram. A1 A2 0.02 0.05 0.03 0.20 0.06 0.09 0.30 A3 0.25 Suppose it is known that A3 did not happen. Conditional on this knowledge, what is the updated chance A1 happens? P(A1 | A3°) Express your answer as a proportion, using 2 decimal places.

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 50E: Flexible Work Hours In a recent survey, people were asked whether they would prefer to work flexible...
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Consider 3 events as illustrated in the following Venn diagram.
S
A2
A1
0.02
0.05
0.03
0.20
0.06
0.09
0.30
Аз
0.25
Suppose it is known that A3 did not happen. Conditional on this knowledge, what is the updated chance A1
happens?
P(A1 | A3°) =
Express your answer as a proportion, using 2 decimal places.
Transcribed Image Text:Consider 3 events as illustrated in the following Venn diagram. S A2 A1 0.02 0.05 0.03 0.20 0.06 0.09 0.30 Аз 0.25 Suppose it is known that A3 did not happen. Conditional on this knowledge, what is the updated chance A1 happens? P(A1 | A3°) = Express your answer as a proportion, using 2 decimal places.
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