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Banking Sample Paper SBI Junior Associates (PT) Sample Test Paper-1

  • question_answer
    A bag contains 8 red and 3 blue balls. Two balls are drawn at random. What is the probability that they are of the same colour?           

    A) \[\frac{33}{54}\]                                   

    B) \[\frac{31}{55}\]                       

    C) \[\frac{29}{52}\]                       

    D)        \[\frac{27}{57}\]

    E)  None of these

    Correct Answer: B

    Solution :

    Total number of balls\[=8+3=11\] \[\therefore \]\[n(S){{=}^{11}}{{C}_{2}}=55\] \[n(E){{=}^{8}}{{C}_{2}}{{+}^{3}}{{C}_{2}}=28+3=31\] \[\therefore \]\[P(E)=\frac{n(E)}{n(S)}=\frac{31}{55}\]


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