Question: There are two boxes, box 1 contains one black and one white marble, and box 2 contains two black and one white marble. A box

There are two boxes, box 1 contains one black and one white marble, and box 2 contains two black and one white marble. A box is selected at random, and a marble selected from the box at random.

(a) What is the probability that the marble is black?

(b) What is the probability that the first box was the one selected given that the marble is white?

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Suppose you are given two boxes. box I contains one black and 4 white balls, and box II contains 4 black and 6 white balls. If a box is selected at random and a ball is chosen, what is the...

Homework 1 (Exercise 1.3 from Barber's book): There are two boxes. Box 1 contains three red and five white balls and box 2 contains two red and five white balls. A box is chosen at random p(box = 1)...

Answer in complete solution with sentence form conclusion 33. On a game show, a contestant can select one of four boxes. Box 1 contains one $100 bill and nine $1 bills. Box 2 contains two $100 bills...

answer the question with sentence form conclusion 33. On a game show, a contestant can select one of four boxes. Box 1 contains one $100 bill and nine $1 bills. Box 2 contains two $100 bills and...

(a) SupposeAandBare two events such thatP(A) = 0.2,P(B) = 0.4and:P(A|B) +P(B|A) = 0.75. DetermineP(AB). (b) LetAandBbe two events such that: P((AB) c ) = 0.6andP(AB) = 0.1. LetEbe the event that...

9. (a) (4 points) If a softball league has eight teams, how many different end-of-the-season rankings are possible? Assume that there are no ties 9. (b) (4 points) A committee has three male and five...

please help with the following Probability_assignment_4_sen x Prob lecture 4 prac sheet (2).p X + C D a canvas.Ims.unimelb.edu.au/courses/92400/assignments/213757 GA ... Apps UniLodge D2, Mel......

Question 2 Consider two boxes. Box A contains 7 blue and 5 red marbles, while box B contains 6 blue and 8 red marbles. A box is selected at random, and 4 marbles are drawn from it at random. Let X =...

LaRoche College MATH 1040 FALL 17 Carell Test on 4 Probability and Statistics Joseph R. Iannuzzi Directions: 1. PLEASE PLACE YOUR NAME ON THE TEST AND SEND THE FILE WITH YOUR NAME AS PART OF THE FILE...

Q 1: Machines A and B turn out respectively 10% and 90% of the total production of a certain type of article. The probability that machine A turns out a defective item is 0.01 and the probability...

Pension expense typically consists of five components. Answer the following questions related to each component. a. Service cost: Is it possible for the service cost component to reduce pension...

Bioenergetics of Photophosphorylation The steady-state concentrations of ATP, ADP, and P; in isolated spinach chloroplasts under full illumination at pH 7.0 are 120.0, 6.0, and 700.0 M, respectively....

Find the derivative of f ( x ) = ( 3 x + 2 ) cubed root of x

For the current pay period, compute the following for the employees. Note: Round each to the nearest cent and if an amount is zero, enter "0". Bode has cumulative earnings of $58,000. His current...

What are three considerations believed it might help determine whether to use individual or group incentive pay plans in organizations. Provide an example (real or imagined) of an effective match...

On 10-01-16, Bandhan Company purchased 50 of Pfizer Company's $1,000, 3% bonds for $49,200. The Pfizer Company bonds were dated 10-01-16 and will mature on 10-01-19. Bandhan will receive interest...

Let X, X,..,X.. be random (kx1) vectors. Then X X iff c'X-c'X, as n o, V cER', a vector of constants.

Write a marketing report that includes your survey objectives, methodology, findings, and conclusioes. Also, provide your related marketing mcommendations Ashley mcently condacted a survey project...

ols 2. Consistency or Adaptation Every company that competes globally needs to make decisions about its product or service mix. Some companies will use a global consistency strategy, seeking to...

10. Try to remember the last communication you entered into. How many times did you fill in information that the other person did not convey? How many times did you speak before the other person...

6. Think of a situation where you noticed that the other person or people did not like or understand your behaviour. Examine your own intentions behind the behaviour.

2. In this chapter, the reader should reflect on the following concepts: historical reason, goal orientation, core values and top performance.