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CBSE Class 11 (Science) Probability — practice questions

44 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.

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In probability, the empty set is the event calledWhen a die is thrown, getting a multiple of 7 isA sample space has n distinct elements. How many simple events does it have?How many simple events arise when two coins are tossed together?Three coins are tossed. How many sample points favour exactly one head?The complementary event 'not A' of an event A in a sample space S isFor events A and B, the union A U B stands for the eventThe event 'A but not B' corresponds to the setEvents 'odd number' and 'even number' on one die areTwo events are mutually exclusive when theyEvents E1, E2, ..., En are exhaustive when their union isOn a die, the events 'less than 4', 'a 3 or 4' and 'greater than 4' areTwo dice are thrown. How many outcomes give a sum greater than 11?How many outcomes are there when two dice are thrown once?Two dice: 'sum less than 4' and 'sum greater than 11' areTwo dice: events 'sum even' and 'sum multiple of 3' share how many outcomes?In three coin tosses, 'no head', 'exactly one head' and 'at least two heads' areAn event E of a sample space has occurred if the outcome wIn the axioms of probability, the value of P(S) isThe probability of the impossible event isBy the first axiom, for any event E the value P(E) isThe probability function takes values in the intervalFor mutually exclusive events E and F, P(E U F) equalsThe domain of the probability function P is theFor outcomes w1, ..., wn of S, the sum of P(wi) equalsA coin has P(H) = 1/4. For a valid assignment, P(T) must beA coin is assigned P(H) = 0.3 under the axioms. Then P(T) isSix outcomes get probabilities 0.1, 0.2, 0.3, 0.4, 0.5 and 0.6. Their sum isGiving an outcome a negative probability is invalid because probabilities must beThree pens are tested, with 8 equally likely good/bad outcomes. P(exactly one bad) isA card is drawn from a well shuffled 52-card deck. P(a diamond) isIf a card is a diamond with probability 1/4, P(not a diamond) isIf P(A) = 0.35, then the probability of 'not A' isIf P(A) = 0.4, P(B) = 0.5 and P(A and B) = 0.2, then P(A or B) isFor mutually exclusive A and B, P(A) = 0.3 and P(B) = 0.45. P(A or B) isIf P(A) = 0.5, P(B) = 0.6 and P(A or B) = 0.8, then P(A and B) isIn P(A) + P(B), the sample points of A and B together are countedA fair die is rolled. P(a number less than 3) isTwo fair coins are tossed. P(exactly one head) isTwo fair dice are thrown. P(sum greater than 11) isA card is drawn from ten cards numbered 1 to 10. P(2, 4, 6 or 8) isTwo dice are thrown. P(first die is 6 and sum is at least 11) isA bag has 5 red, 3 green and 2 yellow marbles. P(red or yellow) isIf P(A) = 0.6 and P(B) = 0.7, the smallest possible P(A and B) is