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?


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1 in 3 5 in 12 1 in 2 7 in 12
Interesting fact:

Hungarian mathematician Paul Erdos had the following pithy assertion about his craft: “A mathematician is a device for turning coffee into theorems”. To what extent do you agree? Write the answer in the form of an equation for bonus points.
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Answer 1

The total probability of getting a vowel would be 5/12

The given word is "MATHEMATICAL"

Total number of alphabets is : 12

Total number of vowels is :5

i.e. 3 A's , 1 E, 1 I

The probability of getting different vowels would be:

A = 3/12 = 1/4

I = 1/12

E = 1/12

The total probability of getting  a vowel would be 5/12