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Elis [28]
3 years ago
7

According to​ Bayes' Theorem, the probability of event​ A, given that event B has​ occurred, is as follows.

Mathematics
1 answer:
zubka84 [21]3 years ago
8 0

Answer:

0.0625

Step-by-step explanation:

<u>Data</u>

  • P(A) = 1/4
  • P(A') = 3/4
  • P(B|A)= 1/10
  • P(B|A') = 1/2

The probability of event​ A, given that event B has​ occurred is computed with the following equation:

P(A|B) = [P(A)*P(B|A)]/[P(A)*P(B|A)+P(A')*P(B|A')]

Replacing with data:

P(A|B) = [1/4*1/10]/[1/4*1/10+3/4*1/2] = 0.0625

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