P3. Four identical urns each contain three balls. In urn I, all 3 balls are black, in urn II, 2 black and 1 iswhite, in urn III, 1 is black and 2 are white, and in urn IV, all 3 are white. One of the urns is picked atrandom, and a ball is chosen from that urn, which turns out to be white. (a) What is the probability that all3 balls in the selected urn are white? (b) A second ball is picked from the selected urn and is also found tobe white. Now, what is the probability that all 3 balls in the selected are white?

4 urn 1 : 3 black 2 : 2 black and 1 white 3 : 1 black and 2 white 4 : 3 white We have to calculate…

Answered: P3. Four identical urns each contain…

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...

See similar textbooks

Similar questions

B. A box contains 6 red balls 4 blue balls Draw two cards in a row If the draw is with return, what is the probability that 1. The two balls are blue 2. The two balls are of different colours
30. The chess clubs of two schools consists of, respectively, 8 and 9 players. four members from each club are randomly chosen to participate in a contest between the two schools. The chosen players from one team are then randomly paired with those from the other team, and each pairing plays a game of chess. Suppose that Rebecca and her sister Elise are on the chess clubs at different schools. What is the probability that exactly one of Rebecca and Elise will be chosen to represent her school? Show the STEP-BY-STEP SOLUTION CLEARLY. SHOW EXPLAMATIONS IF NECESSARY.
A person has two drawers that contain socks. One drawer only has one blue sock, one red sock and one white sock in it. The other drawer only has one blue sock, one black sock, one white sock, one green sock and one yellow sock in it. (no drawer has a pair of matching socks.) One day the person decided to randomly pick one sock out of each drawer. a. List the possible selectons they can get. b. Find the probability that they will select a a pair of matching socks. c. Find the probability that their selection will contain a red sock or a green sock.
Q6. Dr. Lawrence has three boxes. Their contents are Box 1: 2 red balls and 4 white balls Box 2: 4 red balls and 2 white balls Box 3: 3 red balls and 3 white balls First, a box is selected, and then two balls are drawn at random from that box (without replacement). a. What is the probability that the selected both balls are of the same color. b. If the selected balls are of the same color, what is the probability that they are selected from box 2?
Kacey has a local store that sells fresh deli meat, cheese, spices, and a variety of pantry items. Kacey has several best-selling drinkmixes: vanilla cappuccino, dark hot chocolate, white peppermint mocha, and chai latte. Each container of drink mix costs Kacey$2.39. Shipping on a box of 24 drink mixes costs $2.88. Kacey uses a cost plus markup method, whereby she adds the same setamount to each box of drink mix. In other words, she splits up the cost of shipping equally between the 24 drink mixes. Kacey sellseach container of drink mix for $4.15.a) What is the markup percent based on cost for a container of drink mix? Kacey also carries honey that she purchases locally. The honey comes in three sizes: small, medium, and large and costs $3, $5, and$7 respectively. The honey sells for $6.50, $9.00, and $11.50 respectively. b) What is the markup percent on each size jar of honey? c) If she sells 3 small jars of honey, 5 medium jars of honey, 2 large jars of honey, and 15 containers of…
A high school class consists of 6 seniors, 10 juniors, 13 sophomores, and 3 freshmen. Exactly 4 of the juniors are female, and exactly 5 of the sophomores are male. If two students are randomly selected from this class, what is the probability that the pair consists of a male junior and a female sophomore? As a fraction in its simplest form.
Urn A has five mauve marbles, seven burnt sienna marbles, and three puce marbles. Urn B has seven mauve marbles, two burnt sienna marbles, and three puce marbles. First, a random marble is transferred from Urn A to Urn B. Then two marbles are drawn from Urn B simultaneously. What is the probability that the two marbles are the same color?
A. Suppose you close your eyes and randomly select one M&M from your pile, find the probability of grabbing a color that contains the letter “r”or a color that contains the letter “o”. B. Suppose you close your eyes and randomly select one M&M from your pile, replace that M&M, and select another M&M from the pile. What is the probability that you will select an orange and a yellow M&M? C. Suppose you close your eyes and randomly select two M&M’s from your pile, without replacing the first M&M. What is the probability that you will select a red and a blue M&M?
You and two best friends of yours are invited to a party of 10 people (including the host). a. Suppose the 10 people are randomly seated along the dining table. What's the probability that you and your best friends happen to sit next to each other, i.e., no one sits in between any of the three of you? b. After the dinner, four people are drawn randomly to play video games. What's the probability that at least one of your best friends are picked?
a. An urn contains 3 red, 4 white and 5 blue discs. Two discs are selected at random from the urn, one by one without replacement. Find the probability that both discs are different colors.
3. All of the morning math classes are filled & Lisa has a decision to take either Mrs. Fowler or Mr. Williams in the afternoon, what is the probability of Lisa taking a Mrs. Fowler or Mr. Williams in the afternoon? 4. Lisa's school counselor informs her all of Mrs. Fowlers classes are filled. The school adds another teacher Mrs. Jackson. She will teach (1ª, 3rd, 5th, and 6th). What is now the probability of getting Mrs. Jackson for math in the morning?

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS