10th Class Mathematics Probability Question Bank Case Based (MCQs) - Probability

  • question_answer
    Study Case : Q. 6 to 10
    An unbiased game to chance as shown below consists of spinning the wheel on which different areas have been marked with different fruits such as apple, grapes, mange and orange denoted by the alphabets A, G, M and O on the wheel respectively. Numbers have been marked or different parts and each of theese is equally likely, the prize depends on the number at which the arrow points once the wheel comes to a rest.
    Based on the given information, give the answer of the following questions:                                  
    The probability that the arrow will point at a prime number is:

    A) 0

    B) \[\frac{3}{10}\]

    C) \[\frac{1}{2}\]

    D) \[\frac{3}{5}\]

    Correct Answer: B

    Solution :

    The total number of possible outcomes = 10
    Favourable outcomes \[=\{3,11,29\}\]
    \[\therefore \] Number of favourable outcomes = 3 
    \[\therefore \] Required probability \[=\frac{3}{10}\]
    So, option [b] is correct.


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