Question

Colored marbles are placed in two urns, one black and the other white. The black urn contains 12 blae marbles and 6 red ones. The white um contains 4 blue marbles and 8 red ones. An um is selected at random and one marble is drawn from it If the marble is blue, then what is the probability that the marble was drawn from the black um?

Name: Problem 67, Chapter 9: Schaum's Outline of Elements of Statistics I: Descriptive Statistics and Probability
Uploaded: 2020-07-26T07:07:35-08:00
Duration: 4 min 45 s
Channel: Sonam Khatri
Description: Colored marbles are placed in two urns, one black and the other white. The black urn contains 12 blae marbles and 6 red ones. The white um contains 4 blue marbles and 8 red ones. An um is selected at random and one marble is drawn from it If the marble is blue, then what is the probability that the marble was drawn from the black um?

    Colored marbles are placed in two urns, one black and the other white. The black urn contains 12 blae marbles and 6 red ones. The white um contains 4 blue marbles and 8 red ones. An um is selected at random and one marble is drawn from it If the marble is blue, then what is the probability that the marble was drawn from the black um?

Schaum's Outline of Elements of Statistics I: Descriptive Statistics and Probability

Stephen Bernstein,… 1st Edition

Chapter 9, Problem 67

Instant Answer

Solved by Expert Sonam Khatri

07/26/2020

Step 1

In the black urn, there are 12 black marbles and 6 red marbles, so the total number of marbles is 12 + 6 = 18. In the white urn, there are 4 blue marbles and 8 red marbles, so the total number of marbles is 4 + 8 = 12. So, the total number of blue marbles in both Show more…

Show all steps

Thanks for your feedback!

Colored marbles are placed in two urns, one black and the other white. The black urn contains 12 blae marbles and 6 red ones. The white um contains 4 blue marbles and 8 red ones. An um is selected at random and one marble is drawn from it If the marble is blue, then what is the probability that the marble was drawn from the black um?

Play audio

Feedback

Sonam Khatri and 101 other educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Conditional Probability

Conditional probability is the likelihood of an event occurring given that another related event has already occurred. This concept is essential in problems where new partial information is available, which adjusts the probability assessment of an uncertain event.

Law of Total Probability

The law of total probability provides a way to compute the overall probability of an event by considering all the distinct ways in which the event can occur. In problems involving multiple disjoint sub-events or scenarios, it helps aggregate individual probabilities weighted by the likelihood of each scenario.

Bayes' Theorem

Bayes' Theorem is a fundamental concept that allows for revising initial probability estimates in light of new evidence. It relates the conditional probability of an event based on observed data to the reverse conditional probabilities and prior probabilities, effectively updating beliefs about uncertain events.

Please give Ace some feedback