Question

A person chooses a random letter from the word MATHEMATICS. Find the set representing the event E that the letter is a vowel.Select the correct answer below:{A, E, I}{M, A, T, H, E, I, C, S}{H, E, I}{M, T, H, C, S}

Answer 1

The letters in the word MATHEMATICS make up the universal set.

The Universal Set is written out to be:

`U=\mleft\lbrace M,A,T,H,E,I,C,S\mright\rbrace`

Note that we do not need to repeat letters when listing out the elements of the set.

The letters can either be vowels or consonants.

If E is the set of vowels appearing in the Universal set, we have the set to be:

`E=\mleft\lbrace A,E,I\mright\rbrace`

The FIRST OPTION is correct.