Question

In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 14 vowels and 32 consonants, what is the probability you will choose a consonant then a vowel ?

Answer 1

a) 224/1,035
b) 112/529
c) 529/112
d) 9/23

Answer 2

@robz8

Answer 3

14 + 32 = 46

there are 46 possible choices

if the odds of pulling a vowel are 14/46 and a consonant 32/46
then the odds of pulling a consonant then a vowel are 32/46 * 14/46

\[\frac{ 32 }{ 46 } * \frac{14}{46}= \frac{ 448}{ 2116}\]

Answer 4

we can reduce this though

\[\frac{ 448 }{ 2116 } = \frac{ 112 }{ 529 }\]

Answer 5

thank you very much

Answer 6

you're welcome