Question

Letters of the word majesty are arranged randomly what is the probability that the letter y and the vowels of either even places

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The answer to the above question is 1/35.

Given:

Word MAJESTY.

To Find:

The probability of the letter y or vowels to be at even places.

Solution:

We have the word MAJESTY, in which words that according to the question are to be placed at even places are, A, E, and Y.

And the words that are to be placed in odd places are, M, J, S, and T.

Total Numbers of letters in MAJESTY = 7

Total Numbers of letters that can be placed at odd places = 4

Total Numbers of letters that can be placed at even places = 3

Hence,

The probability at 1st position = 4/7

The probability at 2nd position = 3/6

The probability at 3rd position = 3/5

The probability at the 4th position = 2/4

The probability at the 5th position = 2/3

The probability at the 6th position = 1/2

The probability at the 7th position = 1/3

Therefore,

Probability = $(4/7)(3/6)(3/5)(2/4)(2/3)(1/2)(1/3) = (1/35)$

Hence, the probability is (1/35).

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