A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 one year ago
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 and then a vowel?
anonymous
 one year ago
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 and then a vowel?

This Question is Closed

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Let's do one drawing at a time. When you start, there are how many total tiles?

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.1Yes. There are a total of 36 tiles. 15 of the tiles are consonants. 21 tiles are vowels. The probability of an outcome of an event happening is the number of ways the desired outcome can happen divided by the total number of outcomes. Let's look at the first drawing. You want a consonant. There are 15 consonants out of 36 tiles. P(consonant) = 15/36 For the second drawing, the tile that was drawn before is replaced. That means the second drawing is independent of the first drawing. You have again 36 total tiles. Now you want to draw a vowel. There are 21 vowels, so the probability of drawing a vowel in the second drawing is P(vowel) = 21/36 The probability of two independent events happening is the product of their probabilities. P(consonant then vowel) = P(consonant) * P(vowel) P(consonant then vowel) = 15/36 * 21/36 =5/12 * 7/12 = 35/144
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.