a.  A bag contains 66 greengreen marbles, 99 blueblue marbles, and 88 yellowyellow marbles. If a marble is drawn from the bag, replaced, and another marble is drawn, what is the probability of drawing first a greengreen marble and then a yellowyellow marble?    b.  A bag contains 99 whitewhite marbles, 88 yellowyellow marbles, and 66 blueblue marbles. If two different marbles are drawn from the bag , what is the probability of drawing first a whitewhite marble and then a blueblue marble?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 15CR
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Round all answers to 4 decimal places.

a.  A bag contains 66 greengreen marbles, 99 blueblue marbles, and 88 yellowyellow marbles. If a marble is drawn from the bag, replaced, and another marble is drawn, what is the probability of drawing first a greengreen marble and then a yellowyellow marble?
  

b.  A bag contains 99 whitewhite marbles, 88 yellowyellow marbles, and 66 blueblue marbles. If two different marbles are drawn from the bag , what is the probability of drawing first a whitewhite marble and then a blueblue marble?
  

Expert Solution
Step 1

(a)

 

Obtain the probability of drawing first a green marble and then a yellow marble.

 

The probability of drawing first a green marble and then a yellow marble is obtained below as follows:

 

From the information, given that

 

The total number of outcomes =23(=6G+9B+8Y)

 

The total number of green variables=6

 

The total number of blue variables=9

 

The total number of yellow variables=8

 

Given that a marble is drawn and then replaced and again another marble is drawn.

 

Let E denote the event of drawing first a green marble and then a yellow marble.

 

The required probability is,

Statistics homework question answer, step 1, image 1

The probability of drawing first a green marble and then a yellow marble is 0.0907.

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