Marginalization, Independence, Conditioning and Bayes Rule MCQ

Test your knowledge with important Marginalization, Independence, Conditioning and Bayes Rule MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30 + more Marginalization, Independence, Conditioning and Bayes Rule MCQs at Bissoy

• Let the events E and F denote the following events E: the sum of numbers on two dies is 8 F: the number on the first die is 3 When two fair dice are rolled, then the conditional probability of E given that F has already occurred is given by ______
  ক

  P(E)

  খ

  P(F|E)

  গ

  P(F)

  ঘ

  P(E|F)
• Paul is undecided as to whether to take a French course or a Chemistry course. He estimates that his probability of receiving an A grade would be ½ in a French course and 2/3 in a chemistry course. If Paul decides to take his decisions based on the flip of a fair coin, what is the probability he gets an A in chemistry?
  ক

  2/3

  খ

  6/8

  গ

  3/5

  ঘ

  1/3
• Three events E, F, G are said to be independent if _______
  ক

  P(EFG) = P(E)P(F)P(G)

  খ

  P(EF) = P(E)P(F)

  গ

  P(EG) = P(E)P(G)

  ঘ

  P(EFG) = P(E)P(F)P(G), P(EF) = P(E)P(F), P(EG) = P(E)P(G), P(FG) = P(F)P(G)
• Two events A and B are said to be independent if ______
  ক

  P(EF)=P(E+F)

  খ

  P(EF)=P(E)

  গ

  P(EF)=P(E)P(F)

  ঘ

  P(EF)=P(F)