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Mathematics Tes...

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  • Question 1
    4 / -1

    A coin is tossed indefinitely. Probability that the fourth head occurs before the sixth toss is equal to -

  • Question 2
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    A mapping is selected at random from all the mapping of set S = {1, 2, 3, ..., n} to itself such that the probability that the mapping is many one is 29/32, then n is equal to -

  • Question 3
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    Two cards went missing from a well shuffled pack of 52 cards so that the remaining number of cards are 50. A card is drawn at random and found to be a card of heart. Probability that both the missing cards were heart is equal to -

  • Question 4
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    Ram is sitting along with 9 other students in a line. He goes to purchase a balloon and when he comes back he finds that 4 students are not there. The probability that his neighbours are still there, is (Assume that Ram is not sitting at the ends of row).

  • Question 5
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    Let the subset  S of the set {1,2,3,4,5,6,7,8,9} be randomly formed such that sums of each unordered pair of distinct numbers from S are all different. Then the probability that number of elements in set S is greater than 5 is -

  • Question 6
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    Directions For Questions

    Six children use the procedure described below in order to determine which one of the six children will be selected and play first a particular game.

    Six identical looking matchsticks are used. An uninvolved person secretly breaks one matchstick at its lower end and then holds all six in his palm, so that the lower ends are hidden, and only the six upper ends are visible as shown in figure.

    Six children one by one in order draws matchstick one at a time without replacement randomly untill broken matchstick is found. The child getting broken matchstick for the first time wins the game.

    ...view full instructions

    Statement-1 : For each of the six children, the selection procedure is statistically fair.

    because

    Statement-2 : Each child has the same probability for drawing the broken matchstick.

  • Question 7
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    There are three different Urns, Urn-I, Urn-II and Urn-III containing 1 Blue, 2 Green ; 2 Blue, 1 Green ; 3 Blue, 3 Green balls respectively. If two Urns are randomly selected and a ball is drawn from each Urn and if the drawn balls are of different colours then the probability that chosen Urn was Urn-I and Urn-II is -

  • Question 8
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    There are 8 chairs in a row in which 4 persons are to be seated. The probability that each person has exactly one  neighbour is -

  • Question 9
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    From a well shuffled pack of 52 playing cards, cards are drawn one by one with replacement. Probability that 5th card drawn will be "king of hearts" is -

  • Question 10
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    12 identical apples are distributed among 6 people. The probability that at least one of them will receive none is -

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