In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 28 vowels and 16 consonants, what is the probability you will choose a consonant and then a vowel?
(1 point)
Responses
1/44
Image with alt text: 1/44
56/11
Image with alt text: 56/11
28/121
Image with alt text: 28/121
112/11
Image with alt text: 112/11
The probability of choosing a consonant first is 16/44 because there are 16 consonants out of a total of 44 tiles.
After replacing the tile, the probability of choosing a vowel is 28/44 because there are 28 vowels out of a total of 44 tiles.
To find the probability of both events happening, we multiply the probabilities together:
(16/44) * (28/44) = 448/1936 = 112/484
Thus, the probability of choosing a consonant and then a vowel is 112/484.