When playing roulette at a casino, a gambler is trying to decide whether to bet $5 on the number 13 or to bet $5 that the outcome is any one of the five possibilities 00, 0, 1, 2, or 3. The gambler knows that the expected value of the $5 bet for a 5 33 single number is - 0.26¢. For the $5 bet that the outcome is 00, 0, 1, 2, or 3, there is a probability of of making a net profit of $30 and a 38 probability of losing $5 38 a. Find the expected value for the $5 bet that the outcome is 00, 0, 1, 2, or 3. b. Which bet is better: a $5 bet on the number 13 or a $5 bet that the outcome is any one of the numbers 00, 0, 1, 2, or 3? Why?

Q: When playing roulette at a casino, a gambler is trying to decide whether to bet $20 on the number 24…

A: Given that for the $20 bet that the outcome is 00,0,1,2,or3, there is a probability of 538 of making…

Q: A bowl contains 15 red, 13 white, and 25 blue M&M'S candies. If an M&M is randomly selected from the…

A:

Q: When playing roulette at a casino, a gambler is trying to decide whether to bet $20 on the number 26…

A: Given Information: For the $20 bet the outcome is 00,0,or1,  there is a probability of 3/38 of…

Q: When playing roulette at a casino, a gambler is trying to decide whether to bet $5 on the number 13…

A: E(number 13 bet) = -0.26 cents P($20 profit) = 3/38 P($5loss) = 35/38

Q: in cribbage the card game, I hand of six cards is dealt from a normal deck of 52 cards. What is the…

A: Gven that a hand of six cards is dealt from deck of 52 cards.We need probability that we have all…

Q: When playing roulette at a casino, a gambler is trying to decide whether to bet $10 on the number 14…

A: Given, The expected value of $10 bet for a single number is -$1.06

Q: When playing roulette at a casino, a gambler is trying to decide whether to bet $20 on the number 37…

A: From the given information, Consider, X be the random variable that show the winning amount or net…

Q: When playing roulette at a casino, a gambler is trying to decide whether to bet $15 on the number 11…

A: Given Information: The bet amount for number 11= $15 Bet amount for 00,0,1 =$15 The expected value…

Q: When playing roulette at a​ casino, a gambler is trying to decide whether to bet ​$15 on the number…

A: Given : Three posibilities = 00 , 0 , 1 X P(X) 45 338 -15 3538

Q: When playing roulette at a casino, a gambler is trying to decide whether to bet $5 on the number 38…

A: Reviewing information, E($5 bet on no. 38)=-0.26 cents For $5 bet on 5 outcomes(00,0,1,2 or 3)…

Q: When playing roulette at a casino, a gambler is trying to decide whether to bet $15 on the number 23…

A: Reviewing information, Expected value of $15 bet for 23 =-$1.58 For $15 bet on outcome 00,0,1…

Q: 33. On a game show, a contestant can select one of four boxes. Box 1 contains one $100 bill and nine…

A: Define the events, A : Box 1 is chosen B : Box 2 is chosen C : Box 3 is chosen D : Box 4 is chosen X…

Q: An unfair spinner has possible outcomes of 1, 2, 3, 4, 5. The probabilities for most are shown in…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: When playing roulette at a​ casino, a gambler is trying to decide whether to bet ​$15 on the number…

A: Given information: Total number on given roulette at a​ casino = 38(00, 0, 1, 2, 3, 4, 5,…

Q: A board game uses the deck of 20 cards shown to the right. If one card is drawn, determine the…

A: Solution is given below

Q: When playing roulette at a casino, a gambler is trying to decide whether to bet $10 on the number 20…

A:

Q: The records of a fancy shoe store show that 60% of customers making a purchase pay by credit card.…

A: We have given that  p=60%=0.60 , q=1-0.60=0.40  n=10 X~Binomial(n=10,p=0.60)

Q: When playing roulette at a casino, a gambler is trying to decide whether to bet $15 on the number 29…

A:

Q: When playing roulette at a casino, a gambler is trying to decide whether to bet $5 on the number 32…

A: a)The formula for finding the expected value is shown below:

Q: When playing roulette at a​ casino, a gambler is trying to decide whether to bet ​$15on the number…

A: a) The probability distribution table is x P(x) +90 538 -15 3338 The expectation is given…

Q: When playing roulette at a casino, a gambler is trying to decide whether to bet $10 on the number 34…

A: From the provided information, For the $10 bet that the outcome is 00, 0, 1, 2, or 3, there is a…

Q: When playing roulette at a​ casino, a gambler is trying to decide whether to bet ​$5 on the number…

A: Given Information: The gambler knows that the expected value of the $5 bet for a single number is…

Q: One option in a roulette game is to bet $14 on red.​ (There are 18 red​ compartments, 18 black​…

A: Given data, The total number of red compartments = 18 The total number of non red compartments  =…

Q: When playing roulette at a casino, a gambler is trying to decide whether to bet $10 on the number 32…

A: Given information- We have given the probability of making $60 profit for the $10 bet that the…

Q: When playing roulette at a casino, a gambler is trying to decide whether to bet $5 on the number 27…

A: Given For the $5 bet that the outcome is 00,0,1,2 or 3, Probability of making a net profit of…

Q: When playing roulette at a​ casino, a gambler is trying to decide whether to bet ​$10 on the number…

A: 1] Probability of making a net profit of ​$60 =538  2] Probability of losing $10 =3338

Q: When playing roulette at a casino, a gambler is trying to decide whether to bet $10 on the number 25…

A: Given :  There is a probability of 5/38 of making a net profit of $60 and a 33/38 probability of…

Q: 7. Jerry paid $2 for a bet on a horse. If his horse wins the race, Jerry will win $100. Find the…

A: Odds of winning = 3 to 12 or 3/12 = 1/4 = 0.25cost of making a bet = $2so, In every 4 bets he make,…

Q: This is a spinner used in a board game. What is the probability that the spinner will land on a…

A:

Q: When playing roulette at a​ casino, a gambler is trying to decide whether to bet ​$10 on the number…

A: Given datawgen playing a roulette at a casino a gambler is trying to decide on bet $10on he number…

Q: In a gambling game a person draws two cards from an ordinary 52-card playing deck. A person is paid…

A: Given, No of cards n = 52 draws 2 cards $100 if both are aces $50 if one of them is ace otherwise…

Q: Giving a test to a group of students, the results are summarized in the table.   A B C Total…

A: According to the given information, we have Data table is given.   A B C Total Senior 15 5 2 22…

Q: You draw and keep a single bill from a hat that contains a ​$1​, ​$10​, ​$20​, and ​$50…

A: Let X be the random variable . Expected value of X is denoted as E(X) and It is defined as follows…

Q: E, A jar contains 20 red marbles and 10 blue marbles. If you take a random sample of n = 3 marbles…

A: From the provided information, A jar contains 20 red marbles and 10 blue marbles. Total marbles = 20…

Q: Suppose that you are offered the following "deal." You roll a six sided die. If you roll a 6, you…

A:

Q: In the New Jersey and Nevada gaming casinos, craps is a popular gambling game. One of the many bets…

A: As given one of the many bets available is the “Hard-way 8.” A $1 bet in this fashion will win the…

Q: Many states and Canadian provinces have government-sponsored lotteries. Here is a simple lottery…

A: The possible three digit numbers varies from 000 to 999 making a total of 1000 numbers.Consider X be…

Q: When playing roulette at a casino, a gambler is trying to decide whether to bet $20 on the number 31…

A: Answer is explained below

Q: When playing roulette at a casino, a gambler is trying to decide whether to bet $15 on the number 16…

A: Expected value: The expected value is the sum of the product of the observed value to the…

Q: In a large casino, the house wins on its blackjack tables with a probability of 51.2%. All bets at…

A: probability of win = 51.2/100 = 0.512 Probability of loss = 1-0.512 =0.488

Q: When playing roulette at a casino, a gambler is trying to decide whether to bet $15 on the number 25…

A: E(single number) = -1.58 P($75) = 5/38 P(-$15) = 33/38

Q: One option in a roulette game is to bet $1 on red. (There are 18 red compartments, 18 black…

A: No. of red compartment = 18 = n(R) No. of black compartment = 18 = n(B) No. of other compartment = 2…

Q: When playing roulette at a​ casino, a gambler is trying to decide whether to bet ​$5 on the number…

A: Given that  Let X represent the net profit in dollar  The number $5 bet on 32 and any number 0,00,or…

Q: Consider the following game: A player rolls two dice. If he rolls 7 or less then he loses the game.…

A: While rolling a pair of dice, the possible outcomes are the natural numbers lying between 1 and 12.…

Q: In five card stud poker, the lowest ranking hand is nothing/high card with probability 50%, and the…

A:

Q: When playing roulette at a​ casino, a gambler is trying to decide whether to bet ​$15 on the number…

A: Given :  When playing roulette at a​ casino, a gambler is trying to decide whether to bet ​$15 on…

Q: One option in a roulette game is to bet $9 on red.​ (There are 18 red​ compartments, 18 black​…

A: Given information- Information of roulette- The pockets of the roulette wheel are numbered from 0 to…

Q: What is the expected value if I buy 10 tickets (at $2 each) for a pick-8 game of Keno?  a. -$5.70…

A: It is not given that how many of total numbers are there in pick up game. Usually there are total of…

Q: When playing roulette at a​ casino, a gambler is trying to decide whether to bet $15 on the number…

A: Given dataIf we Bet on 0,00 and 1P(win) = 3/38 P(Losing) = 35/38a)expected value for the $15bet that…

Q: When playing roulette at a​ casino, a gambler is trying to decide whether to bet ​$10 on the number…

A: From the provided information, For the $10 bet that the outcome is 00, 0, 1, 2, or 3, there is a…