There are 8 yellow and 4 red balls inside an urn. A. Two balls are selected one by one with replacement. What is the probability that the first is yellow and the second is red? B. What is the probability that the first is yellow and the second is red if the two balls are drawn without replacement?
There are 8 yellow and 4 red balls inside an urn. A. Two balls are selected one by one with replacement. What is the probability that the first is yellow and the second is red? B. What is the probability that the first is yellow and the second is red if the two balls are drawn without replacement?
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
i have provided all data with answers so i need all explantion statical and ptopaplaity explanation please what evey explantion you have please write them
and thank you so much
![There are 8 yellow and 4 red balls inside an urn.
A. Two balls are selected one by one with replacement. What is the probability that the first is yellow
and the second is red?
B. What is the probability that the first is yellow and the second is red if the two balls are
drawn without replacement?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f23290b-5ba2-4eda-888c-aa2765cb4d16%2Fcd5bac31-2e82-4283-ad9e-230f8ce7f02f%2Fgt47au9_processed.png&w=3840&q=75)
Transcribed Image Text:There are 8 yellow and 4 red balls inside an urn.
A. Two balls are selected one by one with replacement. What is the probability that the first is yellow
and the second is red?
B. What is the probability that the first is yellow and the second is red if the two balls are
drawn without replacement?
![A.
Given that, there are 8 yellow balls and 4 red balls. Total 8+4=12 balls.
Now, the event A is first ball is yellow and the second is red if two balls are selected one by one
with replacement.
Thus, the probability of the event A is,
8x4
P(A) =
12x12
P(A) = }
В.
Now, the event B is first ball is yellow and the second is red if two balls are selected one by one
without replacement.
Thus, the probability of the event B is,
8x4
P(B) =
12x11
P(B) =
Thus, the probability of the event B is .](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7f23290b-5ba2-4eda-888c-aa2765cb4d16%2Fcd5bac31-2e82-4283-ad9e-230f8ce7f02f%2Ftygy9dj_processed.png&w=3840&q=75)
Transcribed Image Text:A.
Given that, there are 8 yellow balls and 4 red balls. Total 8+4=12 balls.
Now, the event A is first ball is yellow and the second is red if two balls are selected one by one
with replacement.
Thus, the probability of the event A is,
8x4
P(A) =
12x12
P(A) = }
В.
Now, the event B is first ball is yellow and the second is red if two balls are selected one by one
without replacement.
Thus, the probability of the event B is,
8x4
P(B) =
12x11
P(B) =
Thus, the probability of the event B is .
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.Recommended textbooks for you
![A First Course in Probability (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134753119/9780134753119_smallCoverImage.gif)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
![A First Course in Probability](https://www.bartleby.com/isbn_cover_images/9780321794772/9780321794772_smallCoverImage.gif)
![A First Course in Probability (10th Edition)](https://www.bartleby.com/isbn_cover_images/9780134753119/9780134753119_smallCoverImage.gif)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
![A First Course in Probability](https://www.bartleby.com/isbn_cover_images/9780321794772/9780321794772_smallCoverImage.gif)