Question

If the probability of the letter chosen at random from the letters of the word “Mathematics” to be a vowel is `2/(2x + 1)`, then x is equal to ______.

Options

• `4/11`

• `9/4`

• `11/4`

• `4/9`

Answer 1

If the probability of the letter chosen at random from the letters of the word “Mathematics” to be a vowel is `2/(2x + 1)`, then x is equal to `underlinebb(9/4)`.

Explanation:

The word “Mathematics” has 11 letters.

Vowels in the word are A, A, E, I.

So, the number of vowels = 4

Probability of getting vowel = `4/11`

So, `2/(2x + 1) = 4/11`

Cross multiply:

22 = 8x + 4

8x = 18

x = `18/8`

x = `9/4`