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Indian Navy 10+2 B.Tech Cadet Permcomb — practice questions — page 2

Explore 36 free Permcomb questions in Indian Navy 10+2 B.Tech Cadet Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Permcomb questions and exercises with answers

Showing questions 31–36 of 36.

Order the reasoning: from a partition to a posteriorRead the answer and worked solution →Tap every quantity that is a probabilityRead the answer and worked solution →Spot the odd one outRead the answer and worked solution →Assertion and reason: the multiplication ruleRead the answer and worked solution →True or false: the Historical NoteRead the answer and worked solution →Sort each statement by which idea it describesRead the answer and worked solution →

Worked practice questions

Order the reasoning: from a partition to a posterior

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Steps
  1. The sample space is split into disjoint causes
  2. Each cause carries a prior probability
  3. Each cause makes the observation more or less likely
  4. Adding the branches gives the overall chance of the observation
  5. One branch divided by that total is the revised chance of that cause
This is Bayes' theorem told as a sequence rather than a formula. Source: syllabus Maths Part II, Ch 13 Probability.

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Tap every quantity that is a probability

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Questions
  1. Items
    1. Text
      P(E|F)
      Matches the category
      Yes
    2. Text
      P(E ∩ F)
      Matches the category
      Yes
    3. Text
      P(A)
      Matches the category
      Yes
    4. Text
      E′
      Matches the category
      No
    5. Text
      S
      Matches the category
      No
    Category
    Is a probability (a number in [0, 1])
Keeping the objects straight: some symbols name events, others name numbers. Source: syllabus Maths Part II, Ch 13 Probability.

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Spot the odd one out

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Questions
  1. Items
    1. P(E)P(F|E)
    2. P(E) + P(F)
    3. P(F)P(E|F)
    Odd item
    P(E) + P(F)
  2. Items
    1. Prior
    2. Cofactor
    3. Posterior
    4. Partition
    Odd item
    Cofactor
  3. Items
    1. Pairwise disjoint
    2. Union equals S
    3. All equally likely
    4. Nonzero probability
    Odd item
    All equally likely
Each group is one bullet of the summary. Source: syllabus Maths Part II, Ch 13 Probability.

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More Mathematics topics

SequencesBinomial TheoremGeometryProbability & StatisticsSequences and SeriesVectors & 3D GeometryPermutations and CombinationsLinear Programming