Suppose that we have three cards identical in form except that both sides of thefirst card are colored red, both sides of the second card are colored black, and one sideof the third card is colored red and the other side black. The three cards are mixed upin a bag, and one card is randomly selected and put down on the table. What is theprobability that the upper side of the selected card is colored red?

Here Given 3 cards One has both sides are red one has both side black one has One side black…

Answered: Suppose that we have three cards…

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...

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A box of 6 donuts has 3 plain donuts, 2 chocolate donuts, and 1 blueberry donut. Assume the plain donuts are identical, and the chocolate donuts are identical. How many visually distinct arrangements of the donuts are there?
In Poker, how many ways are there to get Four-of-a-kind with a single Ace as fifth card?
At a carnival, an individual can win a prize by choosing a rubber duck from a pond with "Win" written on the underside of the duck. There are a total of eight ducks with "Win" written on the underside of the duck, and there are 17 ducks with "Lose" written on the underside of the duck. After each pick, if a prize is won, the duck is replaced in the pond. If a prize is not won, then the duck is again placed back into the pond. If an individual makes four picks, what is the probability the individual will win a prize exactly one time? (4) (0.32) (0.68) 1! 4! (0.32)¹ (0.68)³ O2(0.32)(0.68) (0.32) (0.68)³
A new game is being introduced at the Hard Rock Cafe. A ball is spun around a wheel until it comes to rest in one of many spots. Whatever is listed in that spot will be the player's winnings. If the wheel has 8 spots labeled $1, 16 spots labeled $2, and 1 spots labeled $10, how much should a player expect to win on average?
I have a cup with 5 red M&Ms, 4 yellow, and 3 green ones. I draw six at random (without replacement, order does not matter).How many ways are there to draw six at random which give two of each color? For this problem, it can help to imagine that the M&Ms are numbered 1 - 12, with number 1-5 red, 6-9 yellow, and 10-12 green. After that, proceed like we did with Poker hands.
One package contains 5 blue, 4 red and 3 green marbles. We pay $ 14 to draw two marbles at random and without replacement. If we get two blue marbles a prize of $ 20 is won, with two red marbles a prize of $ 30 is won, with two green marbles a prize of $ 30 is won, with two green marbles a prize of $ 50 is won and with any other result they lose the $ 14 they paid to play. Find the expected value of the win in this game. Write your answer in dollars and cents without the $ sign Example: -5.06
Suppose your school has 1000 students. Why can you be pretty sure that some pair of them will have telephone numbers that end in the same two digits and that they will like the same brand of soda?
You have been asked to play a card game. A card is dealt from a complete deck offifty-two cards (no jokers). A deck has 4 aces, 4 kings, 4 queens, 4 jacks, and 36 other cards.It works like this:• If the card is a ace, you lose $4.• If the card is a king or jack, you lose $10.• If the card is a queen, you win $8.• If the card is anything else, you win $1.Find the expected value of the game. Write the excepted value rounded to the nearest cent
A teacher will randomly award three students with extra credit. How many possible ways can the teacher pick these three students from a class of 20 students?
A game consists of spinning a spinner and then rolling a number cube. The spinner is equally likely to land on any 1 of the 4 colors red, yellow, green, or blue. The number cube is equally likely to land with any of the 6 sides labeled 1 through 6 up. To win the game, a contestant must either spin red and roll any number or spin a color other than red and roll a 6. In other words, the contestant must either spin red or roll a 6 to win. Draw a rectangular model to go along with this problem.
Four salesmen play "odd man out" to see who pays for lunch. They each flip a coin, and if there is a salesman whose coin doesn't match the others he pays for lunch. To clarify, the "odd man" must get heads while the other three get tails OR he must get tails while the other three get heads. Of course, since it is possible for two men get heads and two men get tails, not all flips will result in finding an "odd man". If this occurs the salesmen would be forced to flip again. What is the probability that there is an "odd man" the first time they flip?
How many four of a kinds (four cards with the same face and another card) are possible in 5 card poker?

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