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- anonymous

Need quick help on half this problem? Bailey pulls a letter tile from a bag that contains one of each letter of the alphabet. Match each description of the tile with its probability.

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- anonymous

- chestercat

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- anonymous

1. a vowel in her name
2. a letter in her name or V
3. a letter in her name
4. a letter in her name or a consonant (Assume vowels are A, E, I, O, and U.)
a. 12/13
b. 3/13
c. 7/26
d. 3/26
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I have matched "a vowel in her name" with 3/26
also matched "a letter in her name or v" with 7/26
however, I would believe that a letter in her name would be 6/26 and the last one would be 24/26

- DebbieG

Hmmm..... maybe 6/26 is equivalent to one of the fractions given as options?
Maybe 24/26 also? ;)

- anonymous

6/26 is equivalent to 12/13 and 24/26 is equivalent to 3/13

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- anonymous

i suppose that would actually work

- DebbieG

noooo..... reduce 6/26. What's the common factor?

- anonymous

oh sorry i've been doing math all friggen day. im burnt out. it reduces to 3/13

- DebbieG

remember, for two fractions to be "equivalent", you must be able to multiply the num'r and den'r of one of them by the SAME NUMBER, to produce the other fraction.
E.g.: \[\Large \dfrac{ 21 }{ 28 }=\dfrac{ 7\cdot 3 }{ 7 \cdot4 }=\dfrac{ 3 }{ 4 }\]

- anonymous

yes

- DebbieG

ok, right. You had them switched. :)
And yes, that WILL work - it's the correct answer because fractions should be fully reducced.

- anonymous

oh yeah i forgot about reducing them. thank you very much for your time and help

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