Question

Imagine each letter of the word “Mathematical” is written on individual pieces of paper and placed in a bag. Should you pick a random letter from that bag, what is the probability that you pick a vowel?

Answer 1

In the word "Mathematical"

Vowels are "a", "e", "a", "i", "a" from left to right

Consonants are "m", "t", "h", "m", "t", "c", "l"

5 vowels and 7 consonants of total 12 letters

So the probability of picking a vowel is

`(5)/(12)`

Answer 2

The probability to pick a vowel is
`(5)/(12) }`

Explanation:

Probability = Required outcome / All possible outcome

From the question;

the word “Mathematical” is written on individual pieces of paper

We have to count the total numbers of letter present in the word

When we count properly, we have 12 total numbers of letters

The we proceed to count the numbers of vowel

Here are the vowel in the word “Mathematical” :

a, e, a, i, a

The vowels are 5 letters

Probability = Required outcome / All possible outcome

Required outcome = 5

All possible outcome = 12

Probability =
`(5)/(12) }`

The probability that you pick a vowel is
`(5)/(12) }`