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Banking Sample Paper SBI Junior Associates (Main) Sample Paper Test-2

  • question_answer
    If the letters of the word 'PROVIDE' are arranged at random, then what is the probability that all the vowels will come together?

    A)  \[\frac{3}{7}\]                                   

    B)  \[\frac{1}{7}\]

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

    D)       \[\frac{2}{7}\]

    E)  None of these

    Correct Answer: B

    Solution :

    There are 7 letters, out of which 3 are vowels. \[\text{n}\left( \text{S} \right)\text{=7!}\] \[\text{n}\left( \text{E} \right)\text{ = 5!}\left( \text{3!} \right)\] \[\therefore \]Reqd probability \[=\frac{5!(3!)}{7!}=\frac{1\times 2\times 3}{6\times 7}=\frac{1}{7}\]


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