10th Class Mathematics Probability Question Bank MCQs - Probability

  • question_answer
    If a number x is chosen at random from the numbers - 2, - 1, 0, 1, 2. Then, the probability that \[{{x}^{2}}<2\]is

    A) \[\frac{2}{5}\]

    B) \[\frac{4}{5}\]

    C) \[\frac{1}{5}\]

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

    Correct Answer: D

    Solution :

    Clearly, number x can take any one of the five given values. So, total number of possible outcomes = 5. We observe that \[{{x}^{2}}<2\] when x takes any one of the following three values -1, 0 and 1. So, favourable number of elementary events = 3 Hence, \[P\left( {{x}^{2}}<2 \right)=\frac{3}{5}\]


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