10th Class Mathematics Probability Question Bank MCQs - Probability

  • question_answer
    A letter is chosen at random from the letters of the word 'ASSASSINATION', then the probability that the letter chosen is a vowel and is in the form of ———, then x is equal to

    A) 5

    B) 6

    C) 7

    D) 8

    Correct Answer: B

    Solution :

    There are 13 letters in the word 'ASSASSINATION' out of which one letter can be chosen in 13 ways. \[\therefore \] Total number of outcomes = 13 There are 6 vowels in the word 'ASSASSINATION'. So, there are 6 ways of selecting a vowel. \[\therefore \]Required probability \[=\frac{6}{13}\] But given that, \[\frac{6}{2x+1}=\frac{6}{13}\] \[\Rightarrow \,\,\,2x+1=13\] \[\Rightarrow \,\,\,2x=12\] \[\Rightarrow \,\,\,x=6\]


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