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Banking Sample Paper IBPS PO (Main) Sample Test Paper-1

  • question_answer
    Directions: Study the following information carefully and answer the questions that follow: A bag contains 2 red balls, 3 white balls and 5 pink balls.
    If two balls are chosen at random, what is the probability that either all are red or all are white?

    A) \[\frac{4}{45}\]                         

    B) \[\frac{3}{41}\]             

    C) \[\frac{7}{45}\]             

    D)        \[\frac{2}{43}\]

    E) None of these

    Correct Answer: A

    Solution :

    \[n(S){{=}^{10}}{{C}_{2}}\] \[n(E){{=}^{2}}{{C}_{2}}{{+}^{3}}{{C}_{2}}\] \[\therefore \]\[P(E)=\frac{^{2}{{C}_{2}}{{+}^{3}}{{C}_{2}}}{^{10}{{C}_{2}}}=\frac{4}{45}\]


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