use the following probabilities to answer the question. It may be helpful to draw a venn...

Question

Question

use the following probabilities to answer the question. It may be helpful to draw a venn diagram
P(A)= 0.61 P(B)= 0.29 P(A and B)= 0.10

P(not B | not A)=

Answer 1

Answer #1

By the addition rule we have

P(A or B) = P(A) + P(B) - P(A and B) = 0.61 + 0.29 - 0.10 = 0.80

By the Demorgan's law we have

P(not A and not B) = 1 - P(A or B) = 1 - 0.80 = 0.20

By the complement rule,

P(not A) = 1 - P(A) = 1 - 0.61 = 0.39

The required probability is

P(not B | not A) = P(not A and not B) / P(not A) = 0.20 / 0.39 = 0.5128

Answer 2

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