Solution Found!

A First Course in Probability | 9th Edition | ISBN: 9780321794772 | Authors: Sheldon Ross
Change Question

Each of 2 balls is painted either black or gold and then

Chapter 3, Problem 24P

(choose chapter or problem)

Get Unlimited Answers
QUESTION:

Problem 24P

Each of 2 balls is painted either black or gold and then placed in an urn. Suppose that each ball is colored black with probability  and that these events are independent.

(a) Suppose that you obtain information that the gold paint has been used (and thus at least one of the balls is painted gold). Compute the conditional probability that both balls are painted gold.

(b) Suppose now that the urn tips over and I ball falls out. It is painted gold. What is the probability that both balls are gold in this case? Explain.

Questions & Answers

QUESTION:

Problem 24P

Each of 2 balls is painted either black or gold and then placed in an urn. Suppose that each ball is colored black with probability  and that these events are independent.

(a) Suppose that you obtain information that the gold paint has been used (and thus at least one of the balls is painted gold). Compute the conditional probability that both balls are painted gold.

(b) Suppose now that the urn tips over and I ball falls out. It is painted gold. What is the probability that both balls are gold in this case? Explain.

ANSWER:

Step 1 of 3

Each of 2 balls is painted either black or gold and then placed in an urn.

Each ball is colored black with probability .

(a) We have to find the conditional probability that both balls are painted gold given that the gold paint has been used once at least.

(b) If one ball falls out and it is painted gold, we have to find the probability that both balls are gold in this case.

 

Add to cart

Study Tools You Might Need

Chapter: 13 Problem: 116P

Introductory Chemistry 5
Consider the reaction: \(\mathrm{Mg}(s)+2~\mathrm{HCl}(aq) \longrightarrow \mathrm{MgCl_2}(aq)+\mathrm{H_2}(g)\) What minimum amount of 1.85 M HCl is necessary to produce 28.5 L of \(\mathrm H_2\) at STP? Equat

Chapter: 6 Problem: 102P

Sears and Zemansky's University Physics with Modern Physics 13
On a winter day in Maine, a warehouse worker is shoving boxes up a rough plank inclined at an angle above the horizontal. The plank is partially covered with ice, with more ice near the bottom of the plank than near the top, so that the coefficient of friction increases with the distance x along the

Chapter: 17 Problem: 62E

Sears and Zemansky's University Physics with Modern Physics 13
Problem 62E Two rods, one made of brass and the other made of copper, are joined end to end. The length of the brass section is 0.300 m and the length of the copper section is 0.800 m. Each segment has cross-sectional area 0.00500 m2. The free end of the brass segment is in boiling water and the fr

Chapter: 16 Problem: Q16.7

Sears and Zemansky's University Physics with Modern Physics 13
Problem 7DQ Lane dividers on highways sometimes have regularly spaced ridges or ripples. When the tires of a moving car roll along such a divider, a musical note is produced. Why? Explain how this phenomenon could be used to measure the cars speed.

Chapter: 8 Problem: 16

Elementary Statistics: A Step by Step Approach 8th ed. 8
Soft Drink Consumption A researcher claims that the yearly consumption of soft drinks per person is 52 gallons. In a sample of 50 randomly selected people, the mean of the yearly consumption was 56.3 gallons. The standard deviation of the population is 3.5 gallons. Find the P-value for the test. On t

Chapter: 6 Problem: 6

Biology: The Dynamics of Life 1
Enzymes are proteins that facilitate chemical reactions. Based on your knowledge of enzymes, what might the result be if one particular enzyme malfunctioned or was not present?

Chapter: 10 Problem: ap3.35

The Practice of Statistics 5
An investor is comparing two stocks, A and B. She wants to know if over the long run, there is a significant difference in the return on investment as measured by the percent increase or decrease in the price of the stock from its date of purchase. The investor takes a random sample of 50 annualized

Chapter: 10 Problem: 2

Sensation and Perception 10
Texture gradients are said to provide information for depth perception because elements in a scene become more densely packed as distance increases. The examples of texture gradients in Figures 10.6 and 10.8 contain regularly spaced elements that extend over large distances. But regularly spaced elem

Not The Solution You Need? Search for Your Answer Here:

×

Login

Login or Sign up for access to all of our study tools and educational content!

Forgot password?
Register Now

×

Register

Sign up for access to all content on our site!

Or login if you already have an account

×

Reset password

If you have an active account we’ll send you an e-mail for password recovery

Or login if you have your password back