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.

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 <===

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Yakavi Yakavi · Answer 2 · 2022-05-14T14:24:50+02:00

The probability that choosing a consonant then a vowel from the bag after replacement is 35/144.

What is probability?

"Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one".

For the given situation,

The bag consists of letters 21 vowels and 15 consonants.

Total number of letters = 36

The event is the probability that choosing a consonant then a vowel from the bag after replacement.

Probability of choosing a consonant = [tex]\frac{15}{36}[/tex]

Probability of choosing a vowel = [tex]\frac{21}{36}[/tex]

Thus the probability of the event,

[tex]P(e) = \frac{15}{36}[/tex] × [tex]\frac{21}{36}[/tex]

⇒ [tex]P(e)=\frac{35}{144}[/tex]

Hence we can conclude that the probability that choosing a consonant then a vowel from the bag after replacement is 35/144.

Learn more about probability here

brainly.com/question/13604758

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