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Conditional Probability Calculator

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Example
Created on 2024-06-20Asked by Lucas Nelson (Solvelet student)
Given P(A)=0.4 P(A) = 0.4 , P(B)=0.5 P(B) = 0.5 , and P(A∩B)=0.2 P(A \cap B) = 0.2 , find P(A∣B) P(A|B) .

Solution

Step 1: Identify the given probabilities: P(A)=0.4,P(B)=0.5,P(A∩B)=0.2. P(A) = 0.4, \quad P(B) = 0.5, \quad P(A \cap B) = 0.2. Step 2: Use the definition of conditional probability: P(A∣B)=P(A∩B)P(B). P(A|B) = \frac{P(A \cap B)}{P(B)}. Step 3: Substitute the given values: P(A∣B)=0.20.5=0.4. P(A|B) = \frac{0.2}{0.5} = 0.4. Step 4: Conclusion. The conditional probability P(A∣B)=0.4 P(A|B) = 0.4 . Solved on Solvelet with Basic AI Model
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DefinitionThe expected probability of a happening occasion is based on the other to occur is referred to as conditional probability. Check out conditional probability and getting to know the options that are available in conditional probability and conditional probability formulation
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