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Probability Tes...

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  • Question 1
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    If it is given that A and B are two events such that P(B)$$= \frac{3}{5}$$  P(A/B) $$= \frac{1}{2}$$  and P(A $$\cup$$ B) $$= \frac{4}{5}$$,

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     then P(A) equals

  • Question 2
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    A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement the probability of getting exactly one red ball is

  • Question 3
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    Let A and B be two events such that P(A) $$= \frac{3}{8}$$, P(B) $$= \frac{5}{8}$$ and P(A $$\cup$$ B) $$= \frac{3}{4}$$. Then $$P(A|B). P(A'|B)$$ is equal to

  • Question 4
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    A bag contains 5 red and 3 blue balls. If 3 balls are drawn at random without replacement then the probability that two of the three balls were red, the first ball being red, is

  • Question 5
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    If two events are independent, then

  • Question 6
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    A flashlight has 8 batteries out of which 3 are dead. If two batteries are selected without replacement and tested, the probability that both are dead is 

  • Question 7
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    A box has 100 pens of which 10 are defective. What is the probability that out of a sample of 5 pens drawn one by one with replacement at most one is defective?

  • Question 8
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    The probability distribution of a discrete random variable X is given below.

    The value of K is

  • Question 9
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    The probability of guessing correctly at least 8 out 10 answers on a true-false type examination 

  • Question 10
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    In a box containing $$100$$ bulbs, $$10$$ are defective. The probability that out of a sample of $$5$$ bulbs, none is defective is

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