Self Studies

Probability Tes...

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  • Question 1
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    One hundred management students who read at least one of the three business magazines are surveyed to study the readership pattern. It is found that 80 read Business India, 50 read Business World and 30 read Business Today. Five students read all the three magazines. A student was selected randomly. Find the probability that he reads exactly two magazines.

  • Question 2
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    In a multiple choice question there are five alternative answers of which one or more than one is correct. A candidate will get marks on the question only if he ticks the correct answers. The candidate ticks the answers at random. If the probability of the candidate getting marks on the question is to be greater than or equal to 1/3, find the least number of chances he should be allowed

  • Question 3
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    In a multiple choice question, there are four alternative answer of which one or more than one is correct. A candidate will get marks on the question only if he ticks all the correct answer. The candidate decides to tick all the correct answer. The candidate decides to tick answers at random. If he is allowed up to three chances to answer the question, the probability that he will get marks on it is 

  • Question 4
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    Directions For Questions

    A JEE aspirant estimates that she will be successful with an $$80$$ percent chance if she studies $$10$$ hours per day, with a $$60$$ percent chance if she studies 7 hours per day and with a 40 percent chance if she studies 4 hours per day. She further believes that she will study 10 hours, 7 hours and 4 hours per day with probabilities 0.1, 0.2 and 0.7, respectively.

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    The chance she will be successful, is

  • Question 5
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    In a simultaneous throw of two dice, what is the number of exhaustive events?

  • Question 6
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    Three unbiased coins are tossed. What is the probability of getting at most 2 tails ?

  • Question 7
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    A card is drawn at random from a pack of 52 cards. What is the probability that the card drawn is a spade or a king ?

  • Question 8
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    If a ball is drawn from a bag containing 20 balls of different colours, then probability of a white ball is _____.

  • Question 9
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    If A and B are events such that $$P(\overline A\cup \overline B)=\dfrac {3}{4}, P(\overline A\cap \overline B)=\dfrac {1}{4}$$ and $$P(A)=\dfrac {1}{3}$$, then $$P(\overline A\cap B)$$ is

  • Question 10
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    Consider two events $$A$$ and $$B$$ of an experiment where $$P(A\cap B)=\dfrac {1}{4}$$ and $$P(B)=\dfrac {1}{2}$$, then $$P(A)$$ cannot exceed

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