In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 21 vowels and 15 consonants, what is the probability you will choose a consonant then a vowel.

Question

Mathematics

Broderick Davidson

27 July, 00:24

In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 21 vowels and 15 consonants, what is the probability you will choose a consonant then a vowel.

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Answers (1)

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Armando Long · Answer 1

21 vowels ... 15 consonants ... added = 36 tiles

probability of first picking a consonant : 15/36 reduces to 5/12

replacing it ...

probability that second pick is a vowel : 21/36

probability of both : 5/12 * 21/36 = 105 / 432 reduces to 35/144 <===