WILL FANN & MEDALL

In a word game you choose a tile from a bag, replace it, and then choose another. If there are 14 vowels and 22 constants, what is the probability you will choose a constant and then a vowel?

a. 77/324
b. 11/45
c. 45/11
d. 2/9

Question

WILL FANN & MEDALL

In a word game you choose a tile from a bag, replace it, and then choose another. If there are 14 vowels and 22 constants, what is the probability you will choose a constant and then a vowel?

a. 77/324
b. 11/45
c. 45/11
d. 2/9

tkhunny · Answer

What is p(consonant on the 1st draw)?

sparrow2 · Answer

a

sparrow2 · Answer

22/36(constants) x 14/36(vowel) = 11/18 x 7/18=77/324

anonymous · Answer

wow!! thxx :)

tkhunny · Answer

I'm going to guess that should be "consonants", not "constants".

anonymous · Answer

nope... its "constants"

tkhunny · Answer

Weird.  If only that meant anything.

In any case, there are 36 total tiles (14+22).

p(grabbing a consonant) is 22/36

Since you put it back, the next draw in totally independent.  There are still 36 tiles but only 14 that will lead to success as it is defined.

anonymous · Answer

confused .___. so is a right or wrong?

tkhunny · Answer

You have enough information.  What is YOUR solution?

anonymous · Answer

A?

anonymous · Answer

is it right........

tkhunny · Answer

That's what sparrow said.  What is YOUR solution.

There are only four possible outcomes.

Consonant, Consonant
Consonant, Vowel
Vowel, Consonant
Vowel, Vowel

What are the probabilities of each?

(22/36), (22/36)
(22/36), (14/36)
(14/36), (22/36)
(14/36), (14/36)

Which is it asking?

anonymous · Answer

its asking for what is the probability you will choose a constant then a vowel..

tkhunny · Answer

Perfect.  Which of the four I laid out is that?

anonymous · Answer

(22/36), (14/36)

anonymous · Answer

right?

tkhunny · Answer

Very good.  Note: Part of the study of mathematics is learning how to think.  Learning how to put together the story.  Learning how to piece together the puzzle.  The correct answer is good, but that is just not the reason why you are in a math class - why your school makes you take a class like this.  Figure out the rest.  I have little doubt that you can do it.  You just have to decide that it may require a kind of thinking you are not used to.

anonymous · Answer

okay..thxx.. after i get the answer can i ask u if its right?

tkhunny · Answer

My point is - YOU need to know it is right.  You need to tell me!  :-).  You have it right, already.  The rest is arithmetic.

anonymous · Answer

oh okay.... thxx!!!! :)