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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 :

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

[tex]n(S)=11[/tex]

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

[tex]n(A)=4[/tex]

The probability that chooses a vowel is P(A)

[tex]P(A)=\frac{n(A)}{n(S)}=\frac{4}{11}[/tex]

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

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