Bayes' theorem relates P(A|B) and P(B|A):
AP(A|B) = P(B|A)
BP(A|B) = P(B|A) × P(A) / P(B)
CP(A|B) = P(A) + P(B)
DCannot relate
Answer & Solution
Correct answer: B. P(A|B) = P(B|A) × P(A) / P(B)
Bayes' theorem: P(A|B) = P(B|A) × P(A) / P(B). Crucial for inverse probability problems (e.g., disease testing given a positive result).
Related questions
Two coins tossed. P(both heads) =Bag has 4 red, 6 blue. P(red) =Probability of rolling 6 on a die:Probability of heads on a fair coin is:If a fair six-sided die is rolled twice, the probability that the sum is divisible by 3 isA bag has 3 red and 2 black balls. Probability of red ball drawn at random:Probability of getting an even number on rolling a single die:Probability of drawing a king from a standard deck of 52 cards: