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IIFT Binomial Theorem — practice questions — page 2

Explore 88 free Binomial Theorem questions in IIFT Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Binomial Theorem questions and exercises with answers

Showing questions 31–60 of 88.

Which theorem answers which question?Read the answer and worked solution →True or false: total probability and BayesRead the answer and worked solution →Match each historical figure to their contributionRead the answer and worked solution →The Historical NoteRead the answer and worked solution →Flip and pair: notation with meaningRead the answer and worked solution →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 →Complete the arc length relationRead the answer and worked solution →Match each identity to its nameRead the answer and worked solution →The Pythagorean identitiesRead the answer and worked solution →Odd function or even function?Read the answer and worked solution →Complete the degree and radian conversionRead the answer and worked solution →True or false: identities and parityRead the answer and worked solution →Match each sum or difference formula to its resultRead the answer and worked solution →Signs in the expansionRead the answer and worked solution →Which formula does this belong to?Read the answer and worked solution →True or false: periodicityRead the answer and worked solution →Complete the complementary angle rulesRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Order the steps: convert degrees to radiansRead the answer and worked solution →Flip and pair: identity with its valueRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Tap every correct identityRead the answer and worked solution →Radians and degreesRead the answer and worked solution →

Worked practice questions

Which theorem answers which question?

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Items
  1. Item
    Find P(A) from all its branches
    Category
    Total probability
  2. Item
    Combine causes into one overall chance
    Category
    Total probability
  3. Item
    Work forwards from cause to effect
    Category
    Total probability
  4. Item
    Find P(Eᵢ|A) after A is observed
    Category
    Bayes
  5. Item
    Revise a prior into a posterior
    Category
    Bayes
  6. Item
    Work backwards from effect to cause
    Category
    Bayes
Categories
  1. Item
    Total probability
  2. Item
    Bayes
Total probability goes forwards from causes to an effect Bayes runs backwards from the effect to a cause. Source: syllabus Maths Part II, Ch 13 Probability.

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True or false: total probability and Bayes

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Questions
  1. Statement is true
    Yes
    Statement
    The denominator of Bayes' theorem is the total probability of A.
  2. Statement is true
    Yes
    Statement
    Total probability needs the events to partition the sample space.
  3. Statement is true
    No
    Statement
    Bayes' theorem gives P(A|Eᵢ) from P(Eᵢ|A).
  4. Statement is true
    Yes
    Statement
    Bayes' theorem gives P(Eᵢ|A) from P(A|Eᵢ).
  5. Statement is true
    No
    Statement
    A partition may include an event of zero probability.
How the two theorems relate. Source: syllabus Maths Part II, Ch 13 Probability.

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Match each historical figure to their contribution

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Matching pairs
  1. Left
    Pascal and Fermat
    Right
    letters of 1654 founding the subject
  2. Left
    Huygens
    Right
    first book on probability
  3. Left
    Jacob Bernoulli
    Right
    Ars Conjectandi, and the binomial distribution
  4. Left
    Kolmogorov
    Right
    the axiomatic theory of probability
From the Historical Note that closes the chapter. Source: syllabus Maths Part II, Ch 13 Probability.

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