Question

Use the following probabilities to answer the question. It may be helpful to sketch a Venn diagram.

P(A)=0.2,P(B)=0.75 and P(A and B)=0.05
P( not B∣A)=
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Answer 1

To find the conditional probability P( not B|A), we can use the formula for conditional probability and substitute the given probabilities. The result is P( not B|A) = 0.75.

Step-by-step explanation:

The problem is asking you to find the conditional probability P( not B|A). Since we are given that P(A) = 0.2, P(B) = 0.75, and P(A and B) = 0.05, we can use the formula for conditional probability to find P( not B|A).

Conditional probability is calculated as P( not B|A) = P(A and not B) / P(A).

We already know P(A and B) = 0.05, so P(A and not B) = P(A) - P(A and B) = 0.2 - 0.05 = 0.15. Finally, we can substitute these values into the formula to find P( not B|A) = P(A and not B) / P(A) = 0.15 / 0.2 = 0.75.