Question

You write each of the letters in the word MATHEMATICS on separate index cards. You put all the cards in a bag and randomly choose one. What is the probability that you will choose a vowel?M A T H E M A T I C S3/111/44/117/11

Answer 1

The Total number of cards= total number of letters in MATHEMATICS =11.

`n(S)=11`

We know that vowels are A,E,I,O,U.

Let A be the event to choose vowel.

The number of cards that is a vowel is =4

`n(A)=4`

The probability that chooses a vowel is P(A)

`P(A)=(n(A))/(n(S))=(4)/(11)`

Hence the probability that chooses a vowel is 4/11.