In a word game, you choose a tile from a bag, replace it, and then choose another. If there are 28 vowels and 12 consonants, what is the probability you will choose a consonant and then a vowel?

QUESTION POSTED AT 01/06/2020 - 04:42 PM

Answered by admin AT 01/06/2020 - 04:42 PM

Answer: 0.21

Step-by-step explanation:

Given: The number of vowels in the bag = 28

The number of consonants= 12

The total number of letters in the bag = 28+12=40

Probability of choosing consonant :-


After replacement the total number of letters remains same.

Probability of choosing vowel :-


Now, the  probability you will choose a consonant and then a vowel (independent events) is given by :-

P(C)\times P(V)=\dfrac{3}{10}\times\dfrac{7}{10}=\dfrac{21}{100}=0.21

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