How do you plug numbers into the rearranged Bayes formula shown at the end?
Conditions
- The formula used is the rearranged Bayes identity for P(B|A).
- The given probabilities must be consistent with the formula's assumptions (e.g., ).
Reasoning, step by step
- Identify the rearranged formula: P(B|A) = (A|B)/P(A).
- Substitute the given values: , P(A|B) = , .
- Multiply the terms in the numerator: () * () = .
- Divide the result by the denominator: () / ().
- Simplify the fraction: ≈ 0.1667.
Example
The screen supplies , P(A|B)= and . Our arithmetic continuation gives P(B|A)=≈0.1667; this simplified result is derived here rather than displayed in the source.
Common misconceptions
- Assuming the video explicitly states the simplified decimal value aloud or on screen; the source only provides the initial fractions and the formula structure.
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Answers are generated from source material and independently checked. Consult the original video or creator if something is unclear.