Self Studies

Probability Tes...

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  • Question 1
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    A card is drawn from a well shuffled pack of 52 cards. Events A and B are defined as follows :
    A : Getting a card of spade
    B : Getting an ace, then A and B are .....

  • Question 2
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    If A and B are two events, such that P(A or B)=P(A), then 

  • Question 3
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    Lot $$A$$ consists of $$3G$$ and $$2D$$ articles. Lot $$B$$ consists of $$4G$$ $$1D$$ article. A new lot $$C$$ is formed by taking $$3$$ articles from $$A$$ articles from $$A$$ and $$2$$ form $$B$$ . The probability that an article chosen at random from $$C$$ is 

  • Question 4
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    A and B are two independent  events such that $${ P\left( { A }^{ ' }\cap B \right) =\dfrac { 2 }{ 15 }  }$$then P(B) is equal to :

  • Question 5
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    A bag contains $$6$$ red, $$4$$ white and $$8$$ blue balls. If three balls are drawn at random, find the probability that one is red, one is white and one is blue.

  • Question 6
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    If A and B are such events that $$P(A)>0$$ and $$ P(B)\neq 1$$ then $$P\left(\dfrac{\bar{A}}{\bar{B}}\right)$$ is equal to-

  • Question 7
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    If $$\dfrac {1+4p}{4},\dfrac {1+p}{4},\dfrac {1-2p}{2}$$ re probabilities of three mutually exclusive events, then 

  • Question 8
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    Directions For Questions

    $$8$$ players compete in a tournament, every one plays everyone else just once. The winner of a game gets $$1$$, the loser $$0$$ or each gets $$\dfrac{1}{2}$$ if the game is drawn. The final result is that every one gets a different score and the player playing placing second gets the same as the total of four bottom players.

    ...view full instructions

    The score  of the player placing II was 

  • Question 9
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    If $$\dfrac{1+4p}{p},\dfrac{1-p}{4}, \dfrac{1-2p}{2}$$ are propabilities of three mutually exclusive events, then-

  • Question 10
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    A,B and C are three mutually exclusive and exhaustive events and $$P(B)=\dfrac{3}{2}P(A), P(C)=\dfrac{1}{3}P(B)$$ then the value of $$P(A)$$ is

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