Let P(A∩B) = 0.3, and P(A∩Bc) = 0.14. Compute P(B|A).Multiple Choice0.510.340.460.68
Question
Let P(A∩B) = 0.3, and P(A∩Bc) = 0.14. Compute P(B|A).
Multiple Choice:
- 0.51
- 0.34
- 0.46
- 0.68
Solution
To compute P(B|A), we need to use the formula for conditional probability, which is P(B|A) = P(A∩B) / P(A).
First, we need to find P(A). We know that P(A) = P(A∩B) + P(A∩Bc).
Given that P(A∩B) = 0.3 and P(A∩Bc) = 0.14, we can substitute these values into the equation to find P(A).
P(A) = 0.3 + 0.14 = 0.44
Now, we can substitute P(A) and P(A∩B) into the formula for conditional probability to find P(B|A).
P(B|A) = P(A∩B) / P(A) = 0.3 / 0.44 = 0.68
So, the answer is 0.68.
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