10th Class Mathematics Sample Paper Maths Olympiad Model Test Paper-3

  • question_answer
    Match the columns
    Column - Ist Column - IInd
    (A) A and B are two events such that P(A) = 0.3 and \[P\,(A\bigcup B)=0.8.\] If A and B are independent, then P(B) is (P) \[\frac{4}{13}\]
    (B) A single card is chosen at random from a standard deck of 52 playing cards. What is the probability of choosing a king or a club? (Q) \[\frac{2}{5}\]
    (C) If A and B be two mutually exclusive events in a sample space such that \[P(A)=\frac{2}{5}\] and \[P\,(B)=\frac{1}{2},\] then \[P\,(A\bigcap \overline{B})\] is (R) \[\frac{5}{7}\]
    (D) A natural number is chosen at random from amongst the first 300. What is the probability that the number, so chosen is divisible by 3 or 5? (S) \[\frac{7}{15}\]
     

    A) A\[\to \]P, B\[\to \]Q, C\[\to \]R, D\[\to \]S

    B) A\[\to \]Q, B\[\to \]P, C\[\to \]R, D\[\to \]S

    C) A\[\to \]R, B\[\to \]P, C\[\to \]S, D\[\to \]Q

    D) A\[\to \]R, B\[\to \]P, C\[\to \]Q, D\[\to \]S

    E) None of these

    Correct Answer: D


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