Question

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.

Answer 1

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

Answer 2

Hmmm..... maybe 6/26 is equivalent to one of the fractions given as options?

Maybe 24/26 also? ;)

Answer 3

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

Answer 4

i suppose that would actually work

Answer 5

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

Answer 6

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

Answer 7

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.: \[\Large \dfrac{ 21 }{ 28 }=\dfrac{ 7\cdot 3 }{ 7 \cdot4 }=\dfrac{ 3 }{ 4 }\]

Answer 8

yes

Answer 9

ok, right. You had them switched. :)

And yes, that WILL work - it's the correct answer because fractions should be fully reducced.

Answer 10

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