Baye’s Theorem MCQ

Test your knowledge with important Baye’s Theorem MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30 + more Baye’s Theorem MCQs at Bissoy

• Previous probabilities in Bayes Theorem that are changed with help of new available information are classified as _________________
  ক

  independent probabilities

  খ

  posterior probabilities

  গ

  interior probabilities

  ঘ

  dependent probabilities
• At a certain university, 4% of men are over 6 feet tall and 1% of women are over 6 feet tall. The total student population is divided in the ratio 3:2 in favour of women. If a student is selected at random from among all those over six feet tall, what is the probability that the student is a woman?
  ক

  2⁄5

  খ

  3⁄5

  গ

  3⁄11

  ঘ

  1⁄100
• An urn B1 contains 2 white and 3 black chips and another urn B2 contains 3 white and 4 black chips. One urn is selected at random and a chip is drawn from it. If the chip drawn is found black, find the probability that the urn chosen was B1.
  ক

  4⁄7

  খ

  3⁄7

  গ

  20⁄41

  ঘ

  21⁄41
• Two boxes containing candies are placed on a table. The boxes are labelled B1 and B2. Box B1 contains 7 cinnamon candies and 4 ginger candies. Box B2 contains 3 cinnamon candies and 10 pepper candies. The boxes are arranged so that the probability of selecting box B1 is 1⁄3 and the probability of selecting box B2 is 2⁄3. Suresh is blindfolded and asked to select a candy. He will win a colour TV if he selects a cinnamon candy. What is the probability that Suresh will win the TV (that is, she will select a cinnamon candy)?
  ক

  7⁄33

  খ

  6⁄33

  গ

  13⁄33

  ঘ

  20⁄33
• A box of cartridges contains 30 cartridges, of which 6 are defective. If 3 of the cartridges are removed from the box in succession without replacement, what is the probability that all the 3 cartridges are defective?
  ক

  \(\frac{(6*5*4)}{(30*30*30)}\)

  খ

  \(\frac{(6*5*4)}{(30*29*28)}\)

  গ

  \(\frac{(6*5*3)}{(30*29*28)}\)

  ঘ

  \(\frac{(6*6*6)}{(30*30*30)}\)
• Three companies A, B and C supply 25%, 35% and 40% of the notebooks to a school. Past experience shows that 5%, 4% and 2% of the notebooks produced by these companies are defective. If a notebook was found to be defective, what is the probability that the notebook was supplied by A?
  ক

  44⁄69

  খ

  25⁄69

  গ

  13⁄24

  ঘ

  11⁄24