A bag contains 5 red balls and 3 green balls. A ball is drawn and not replaced. A secondball is drawn. Draw a tree diagram to show all the possible outcomes: Find the probabilitthat: (a) two green balls are drawn, (b) the first ball is red and the second is green.+ P(q)evur girl)

Answered: Image /qna-images/answer/7b21c471-1dba-495d-a201-d2a301ea86f5.jpg

Answered: A bag contains 5 red balls and 3 green…

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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In the game of roulette, a wheel consists of 38 slots numbered 0, 00, 1, 2,..., 36. To play the game, a metal ball is spun around the wheel and is allowed to fall into one of the numbered slots. If the number of the slot the ball falls into matches the number you selected, you win $35; otherwise you lose $1. Complete parts (a) through (g) below. Click here to view the standard normal distribution table (page 1). LOADING... Click here to view the standard normal distribution table (page 2). LOADING... (a) Construct a probability distribution for the random variable X, the winnings of each spin. x P(x) 35 0.02630.0263 −1 0.97370.9737 (Type integers or decimals rounded to four decimal places as needed.) (b) Determine the mean and standard deviation of the random variable X. Round your results to the nearest penny. μ=negative 0.05−0.05 σ=5.765.76 (c) Suppose that you play the game 100 times so that n=100. Describe the sampling…
Kiyo is creating a table using mosaic tiles chosen and placed randomly. She is picking tiles without looking. How does P(yellow second | blue first) compare to P(yellow second | yellow first) if the tiles are selected without replacement? If the tiles are selected and returned to the pile because Kiyo wants a different color?
“ You are dealt five cards from a standard deck of 52 cards. How many of these handshave at least one queenandat least one spade. ”He breaks this into two cases. In the first case, he looks at hands which contain the queen of spadesQ♠. There is 1 way of choosing the Queen of Spades, and51C4ways of choosing the other fourcards. In the second case, he will start by choosing a non-spade queen (3 ways) and a non-queenspade (12 ways). There are 50 cards remaining, so he also throws away the Queen of Spades sothat he doesn’t overlap case 1. This gives49C3ways of choosing the last three cards. He concludesthat the answer is51C4+ (3·12·49C3). His answer is incorrect. Explain why, and give the correctanswer.
Please help me with this assignment, I'm not sure what to do from 3. onwards Kiara and her friends are playing The Duck Gameat a local fair. In this game, the player selects oneof 50 identical plastic ducks from a pool. Thebottom of each duck is each numbered 1, 2, or 3. Ifyou draw a duck with a 1, you win a small prize, aduck with a 2 will win you a medium prize, and aduck with a 3 will win a large prize. According tothe game operator, there are 25 ducks with anumber 1 on the bottom, 20 ducks with the number2, and 5 ducks with the number 3.Use the information given to explore some of the mathematical concepts you have practiced sofar by answering the questions below.1. Suppose that Kiara plays The Duck Game once. What is the probability that she draws a duckwith the number 3 on the bottom? Explain the process you used to solve this question.2. Kiara draws a duck with a 1 on her first try and decides to play the game again. This time herfriends Denny and Rayanna play the game with…
A bag contains four red marbles, two green ones, one lavender one, three yellows, and three orange marbles. HINT [See Example 7.] How many sets of four marbles include none of the red ones? sets
A bag contains three red marbles, two green ones, one lavender one, one yellow, and three orange marbles. HINT [See Example 7.] How many sets of five marbles include at least two red ones? sets
This exercise refers to a standard deck of playing cards. Assume that 8 cards are randomly chosen from the deck.How many hands contain exactly two 2s and two 5s?
A bag contains five red marbles, three green ones, one lavender one, three yellows, and two orange marbles. HINT [See Example 7.] How many sets of four marbles include none of the red ones?
General: Deck of Cards: You draw two cards from a standard deck of 52 cards without replacing the first one before drawing the second. Are the outcomes on the two cards independent? Why? Find P (3 on 1st card and 3 on 2nd). Find P (10 on 1st card and 3 on 2nd).
nick and Casey are playing darts on the board that has five regions labeled a, b, c, d, and e in which of the regions is a dart most likely to fall?
A bag contains 16 red coins, 8 blue coins, and 8 green coins. A player wins by pulling a red coin from the bag. Is this game fair?

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