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CBSE Class 11 (Commerce) Probability — practice questions

Explore 44 free Probability questions in CBSE Class 11 (Commerce) Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Probability questions and exercises with answers

Showing questions 1–30 of 44.

In probability, the empty set is the event calledRead the answer and worked solution →When a die is thrown, getting a multiple of 7 isRead the answer and worked solution →A sample space has n distinct elements. How many simple events does it have?Read the answer and worked solution →How many simple events arise when two coins are tossed together?Read the answer and worked solution →Three coins are tossed. How many sample points favour exactly one head?Read the answer and worked solution →The complementary event 'not A' of an event A in a sample space S isRead the answer and worked solution →For events A and B, the union A U B stands for the eventRead the answer and worked solution →The event 'A but not B' corresponds to the setRead the answer and worked solution →Events 'odd number' and 'even number' on one die areRead the answer and worked solution →Two events are mutually exclusive when theyRead the answer and worked solution →Events E1, E2, ..., En are exhaustive when their union isRead the answer and worked solution →On a die, the events 'less than 4', 'a 3 or 4' and 'greater than 4' areRead the answer and worked solution →Two dice are thrown. How many outcomes give a sum greater than 11?Read the answer and worked solution →How many outcomes are there when two dice are thrown once?Read the answer and worked solution →Two dice: 'sum less than 4' and 'sum greater than 11' areRead the answer and worked solution →Two dice: events 'sum even' and 'sum multiple of 3' share how many outcomes?Read the answer and worked solution →In three coin tosses, 'no head', 'exactly one head' and 'at least two heads' areRead the answer and worked solution →An event E of a sample space has occurred if the outcome wRead the answer and worked solution →In the axioms of probability, the value of P(S) isRead the answer and worked solution →The probability of the impossible event isRead the answer and worked solution →By the first axiom, for any event E the value P(E) isRead the answer and worked solution →The probability function takes values in the intervalRead the answer and worked solution →For mutually exclusive events E and F, P(E U F) equalsRead the answer and worked solution →The domain of the probability function P is theRead the answer and worked solution →For outcomes w1, ..., wn of S, the sum of P(wi) equalsRead the answer and worked solution →A coin has P(H) = 1/4. For a valid assignment, P(T) must beRead the answer and worked solution →A coin is assigned P(H) = 0.3 under the axioms. Then P(T) isRead the answer and worked solution →Six outcomes get probabilities 0.1, 0.2, 0.3, 0.4, 0.5 and 0.6. Their sum isRead the answer and worked solution →Giving an outcome a negative probability is invalid because probabilities must beRead the answer and worked solution →Three pens are tested, with 8 equally likely good/bad outcomes. P(exactly one bad) isRead the answer and worked solution →

Worked practice questions

In probability, the empty set is the event called

  1. simple event
  2. impossible event
  3. compound event
  4. sure event
Show answer and solution

Correct answer: B. impossible event

The empty set contains no outcome, so it can never occur and is the impossible event.

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When a die is thrown, getting a multiple of 7 is

  1. a compound event
  2. an impossible event
  3. a one-point event
  4. an exhaustive event
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Correct answer: B. an impossible event

No face of a die shows 7 or more, so no outcome favours this event and it is impossible.

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A sample space has n distinct elements. How many simple events does it have?

  1. n + 1
  2. n
  3. n - 1
  4. n x n
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Correct answer: B. n

Each sample point forms its own one-element event, giving exactly n simple events.

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More Mathematics topics

StatisticsSequences and SeriesTrigonometric FunctionsBinomial TheoremConic SectionsSets, Relations and FunctionsLimits and DerivativesPermutations and Combinations