11th Class Mathematics Sample Paper Maths Olympiad Model Paper-1

  • question_answer
    Consider the following statements about be three arbitrary events \[{{E}_{1}},\,{{E}_{2}},\,{{E}_{3}}\]of a sample space S. Which of the following statements are correct?

    A)  P (only one of them occurs)\[=P\,({{\bar{E}}_{1}}{{E}_{2}}{{E}_{3}}+{{E}_{1}}{{\bar{E}}_{2}}{{E}_{3}}+{{E}_{1}}{{E}_{2}}{{\bar{E}}_{3}})\]

    B)  P (none of them occurs)\[=P\,({{\bar{E}}_{1}}+{{\bar{E}}_{2}}+{{\bar{E}}_{3}})\]

    C)  P (at least one of them occurs)\[=P\,({{E}_{1}}+{{E}_{2}}+{{E}_{3}})\]

    D)  P (all three occurs)\[=P\,({{E}_{1}}+{{E}_{2}}+{{E}_{3}})\]

    E)  None of these

    Correct Answer: C

    Solution :

     Not Available


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