Self Studies

Probability Tes...

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  • Question 1
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    A researcher conducted a survey to determine whether people in a certain town prefer watching sports on television to attending the sporting event. The researcher asked 117 people who visited a local restaurant on a Saturday, and 7 people refused to respond. Which of the following factors makes it least likely that a reliable conclusion can be drawn about the sports-watching preferences of all people in the town?

  • Question 2
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    If $$ n(A) = 1000, n (B)=500 $$ and if $$ n ( A \cap B ) \ge 1 $$ and $$ n( A \cup B ) = p , $$ then

  • Question 3
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    Sita and Geta are friends, what is the probability that both will have different birthdays (ignoring a leap year)

  • Question 4
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    If $$A$$ and $$B$$ are events with $$P(A\cup B) = \dfrac {3}{4}, P(A') = \dfrac {2}{3}$$ and $$P(A\cap B) = \dfrac {1}{4}$$ then $$P(B)$$ is

  • Question 5
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    A  die is thrown .The probability that the number comes up even is ______ . 

  • Question 6
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    The probability that an event does not happens in one trial is 0.8.The probability that the event happens atmost once in three trails is 

  • Question 7
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    If $$A$$ and $$B$$ are events having probabilities, $$P(A)=0.6,P(B)=0.4,P(A\cap B)=0$$, then the probability that neither $$A$$ nor $$B$$ occurs is

  • Question 8
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    $$A$$ and $$B$$ are two independent events such that $$P(A)=\cfrac { 1 }{ 2 } ;P(B)=\cfrac { 1 }{ 3 } $$. Then $$P$$(neither $$A$$ nor $$B$$) is equal to

  • Question 9
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    For any two events $$A$$ and $$B$$ -

  • Question 10
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    For two independent events $$A$$ and $$B$$, what is $$P(A + B)$$, given $$P(A) = \dfrac{3}{5}$$ and $$P(B) = \dfrac{2}{3}$$?

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