Maths Quiz

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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?

1 in 3
5 in 12
7 in 12
1 in 2

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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.