Read the two statements and choose the correct option. I. Bayes' theorem finds P(A Eᵢ) when the P(Eᵢ A) are known. II. The probability P(Eᵢ A) after A is seen can be larger than P(Eᵢ).

Conditional Probability & Bayes' Theorem · Question 104 of 125

Question 104

MediumOriginal question

Read the two statements and choose the correct option.
I. Bayes' theorem finds $P(A \mid E_i)$ when the $P(E_i \mid A)$ are known.
II. The probability $P(E_i \mid A)$ after $A$ is seen can be larger than $P(E_i)$ .

Only ICorrect answerYour answerOnly IICorrect answerYour answerBoth I and IICorrect answerYour answerNeither I nor IICorrect answerYour answer

Show the answer and explanation

CorrectNot quiteAnswer B

Correct answer: B

I: it is the other way round; Bayes' theorem turns the known $P(A \mid E_i)$ into $P(E_i \mid A)$ . False.
II: a head lifted coin B from $\frac{1}{2}$ to $\frac{2}{3}$ above. True.

Ten questions from Conditional Probability & Bayes' Theorem, at your own pace.

Ten questions from Conditional Probability & Bayes' Theorem, at your own pace.