Question

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

Answer 1

@hartnn @haitianmontana

Answer 2

@Salmon are you able to teach me how this is done?

Answer 3

In total their are 36 letters
right??

Answer 4

Yeah

Answer 5

First we will find our sample space
In how many ways you can select the first letter??

Answer 6

14/36 because they want a vowel first.

Answer 7

Ok...you are actually approaching the answer in different way but even your method is right..
Lets proceed in your way...
Now find the probability of choosing a consonant...

Answer 8

22/36

Answer 9

now the probability that you will choose a vowel then a consonant is the product of their individual probabilities i.e
probability that you will choose a vowel then a consonant=(probability of chossing a vowel)(probability of choosing a consonant)

Answer 10

?

Answer 11

What is the probability of chossing a vowel?

Answer 12

14

Answer 13

you mean 14/36?

Answer 14

mhmm

Answer 15

probability of choosing a consonant= 22/36
so your answer is (14/36)(22/36)=???

Answer 16

idk 308/36????

Answer 17

\[\frac{ 14 }{ 36 }\times \frac{ 22 }{ 36 }=\frac{ 14\times22 }{ 36\times36 }=\frac{ 308 }{ 1296 }\]

Answer 18

i tried that it doesn't work....

Answer 19

either that or i can't simplify... but whatever i give up

Answer 20

k..lets start again....This time in an systematic way...