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    A letter is drawn at random from the following string of letters. R A M U K Y A J N A S What is the probability that it is NOT a vowel?
    Question

    A letter is drawn at random from the following string of letters.
    R A M U K Y A J N A S
    What is the probability that it is NOT a vowel?

    A.

    1/2

    B.

    6/11

    C.

    7/11

    D.

    8/11

    Correct option is C

    ​Given:

    The string of letters is:
    R A M U K Y A J N A S

    The total number of letters in the string is 11.

    We are asked to find the probability that a randomly drawn letter is NOT a vowel.

    Step 1: Identify the vowels in the string.

    The vowels in the English alphabet are A, E, I, O, U.
    From the given string, the vowels are:

    • A, A, A (3 occurrences of 'A')
    • U (1 occurrence of 'U')

    Thus, there are 4 vowels in the string.

    Step 2: Identify the total number of letters.

    The total number of letters in the string is 11:

    • R, A, M, U, K, Y, A, J, N, A, S (This is a total of 11 letters).

    Step 3: Find the number of letters that are NOT vowels.

    The number of letters that are NOT vowels is:

    • Total letters = 11
    • Vowels = 4
    • Non-vowels = 11 - 4 = 7  (These are the consonants).

    Step 4: Calculate the probability.

    The probability of drawing a letter that is NOT a vowel is:

    ​P(Not a vowel) = (Number of non-vowel letters) / (Total number of letters) = 7 / 11​

    P(Not a vowel)=Number of non-vowel lettersTotal number of letters=711P(\text{Not a vowel}) = \frac{\text{Number of non-vowel letters}}{\text{Total number of letters}} = \frac{7}{11}

    Final Answer:

    The probability that the letter drawn is NOT a vowel is 7/11.

    Correct Option:(c) 7/11.

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