Self Studies

Probability Tes...

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  • Question 1
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    A bag contains $$18$$ balls out of which $$x$$ balls are red.
    If one ball is drawn at random from the bag, what is the probability that it is not red?

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    If the value of x is $$6$$

  • Question 2
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    $$8$$ 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.

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    The score  of the player placing II was 

  • Question 3
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    A fair die is thrown 3 times . The chance that sum of three numbers appearing on the die is less than 11 , is equal to -

  • Question 4
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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

  • Question 5
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    From a well shuffled deck of $$52$$ cards, $$4$$ cards are drawn at random. What is the probability that all the drawn cards are of the same colour.

  • Question 6
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    The probability that a number selected at random from the numbers $$1,2,3.......15$$ is a multiple of $$4$$ is 

  • Question 7
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    If $$A$$ and $$B$$ are events such that $$P(A)=0.3,P(B)=0.2$$ and $$P(\bar { A } \cup B)=$$?

  • Question 8
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    If $$A$$ and $$B$$ are events at the same experiments with $$P(A)=0.2, P(B)=0.5$$ then maximum value of $$P(A'\cap B)$$ is

  • Question 9
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    If the probability for $$A$$ to fail in an examination is $$0.2$$ and that for $$B$$ is $$0.30$$, then the probability that either $$A$$ or $$B$$ fails, is

  • Question 10
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    A students appears for tests I,II and III.The student is successful if he passes either in tests I and II or tests I and III.The probabilities of the student passing in test I,II and III are respectively, $$p,q,$$ and $$1/2$$.If the probability that the student is successful is $$1/2,$$ then $$p(1+q)=$$

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