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
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section: Chapter Questions
Problem 14T: An unbalanced coin is weighted so that the probability of heads is 0.55. The coin is tossed ten...
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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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