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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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