A bag contains a coin and two dice. One of them is drawn from the bag at random (with equal chance) and tossed. We win $480 if we get heads, lose $12 if we get tails, win $36 if we get 6, and neither lose nor win for any other outcome. What is our expected gain if we play this game once? Enter an exact value without any units.

Q: You have some number of coins in your pocket, and you choose two at random. The random variable Z…

A: The random variable Z assigns the value of the coins in cents to each outcome  you draw out a…

Q: At the county fair, there’s a game where the chicken walks around on a 4x4 grid. The chicken will…

A: Given information: Total number of squares in 4*4 grid = 16  Each of the grid squares have equal…

Q: Kaja has a dog walking business that serves 9 dogs. If she chooses 4 of the dogs at random to take…

A: Kaja serves 9 dogs out of which 4 dogs named Cherish, Taffy, Haunter, and Maverick have to be chosen…

Q: Jeff and Mary are playing ping-pong. They take turns serving, and the winner of the point becomes…

A: From the given information it is clear that, P(Jeff wins each point )=0.64 P(Mary wins each point…

Q: A student is taking a multiple-choice quiz. The quiz has 6 questions, and each question has 4…

A: Solution:From the given information, number of quiz questions is 6 and each question has number of…

Q: Suppose an oil company is thinking of buying some land for $11,000,000. There is a 60% chance of…

A: Given: Value of land = $11,000,000 P (economic growth) = 0.60 P (recession) = 0.40 P (discovering…

Q: Two fair dice are rolled. Find the odds for and the odds against getting a double 4.

A: Two fair dice are rolled. The number of ways for getting (4, 4) is 1 and the number of ways for not…

Q: This game is called “Get Negative”.  Roll two dice (record these in the order you roll them), and…

A: hello, thank you for the question. According to our policies can answer only three sub parts at a…

Q: A player rolls a fair dice and gets "$3 multiplied by the value on the dice" in the case of even…

A: Basic concepts of probability are used.

Q: Suppose you play a game where you toss three fair coins. If you get three tails, you win $10.…

A: Probability of getting a tail while tossing a coin is 1/2 So, if 3 coins will be tossed then the…

Q: Find the probability that none of the dice will show a 1. (Enter your probability as a fraction.)

A: The number of dice rolled are 3.

Q: You are going to play the 7-11 game, which has the following rules: You roll two dice. If the total…

A: The player throws 2 dices and if the sum is 7 or 11 person wins the gameIf the sum is 2,3, or 12…

Q: Alexandra and Martha take a math exam. The probability of passing this exam for Alexandra and…

A: Let A be the event for Alexendra take math exam B be the event for Martha take a math exam.  Given…

Q: Roll a pair of fair dice one time. What is the probability that the sum of the two numbers i

A: If we roll a pair of fair dice one time, we get the possible outcomes as S=…

Q: an urn contains 4 red balls and 6 green balls. pick a ball; keep it; pick another ball. then the…

A: No.of red balls=4 No.of green balls=6 Total no.of balls=10

Q: A die is rolled. If an odd number turns up, we win an amount equal to this number; if an even number…

A: The outcome of rolling a die is {1, 2, 3, 4, 5, 6}.

Q: At UB, the probability that a student takes Business Statistics is 0.70. The probability that a…

A: Given Let, A=Student takes business statistics P(A)=0.70 B=Student is on scholarship  P(B)=0.80…

Q: You roll two dice. What is the probability that one of the numbers is even and the other is odd?

A: There are 6 numbers on a dice, 3 even number and 3 odd numbers on a dice. The probability of getting…

Q: You roll a conventional fair die repeatedly. If it shows 1, you must stop, but you may choose to…

A:

Q: You roll a fair six-sided die twice. Find the probability of rolling a 3 the first time and a number…

A: From the provided information, A fair six-sided die is rolled twice. P (rolling 3) = 1/6 P (rolling…

Q: On a roll of two dice, Serena bets that the sum will be 6, and Donald bets that the sum will be 9…

A: Finding probability

Q: Students at Bell Middle school are allowed to wear two different colors of uniform shirts a survey…

A: Given,Students at Bell Middle school are allowed to wear two different colors of uniform shirts a…

Q: It costs $6.75 to play a very simple game, in which a dealer gives you one card from a deck of 52…

A: The cost of the game is $6.75.

Q: This game is called “Get Negative”.  Roll two dice (record these in the order you roll them), and…

A: Sample space is the totality of all the possible outcomes of a random experiment. Suppose we have a…

Q: Solve correctly. I will rate accordingly.   An urn contains four yellow balls and two green balls.…

A:

Q: Emily rolls a pair of standard dice. What is the probability that she gets a sum of 8 or at least…

A: Here we have to find probability that Emily gets a sum of 8 or at least one of the dice shows a 3…

Q: For 8 TL a player can roll a pair of dice once. If the player gets a double, he is allowed to choose…

A: The probability that the player gets a double = (Number of ways to get a double)/(Total number of…

Q: Dan's Diner employs three dishwashers. Al washes 40% of the dishes and breaks only 2% of those he…

A: Let us denote A=Al B=Betty  C=Chuck  D=break the dish    Given that, P(A)=40%=0.40 P(B)=30%=0.30…

Q: At university   the probability that a student takes Business Statistics is 0.70. The probability…

A: Solution

Q: A and B play the following game. They throw alternatively a pair of dice. Whosoever gets sum of the…

A:

Q: Ariana and Bella are playing a game. They each have 4 cards, which are numbered 1, 2, 3 and 4. Each…

A:

Q: Suppose that you repeatedly roll a pair of fair dice and keep track of the sum. What is the…

A:

Q: Determine if the events in the problem are independent or dependent, then find the probability of…

A:

Q: In the game of roulette, a player can place a $8 bet on the number 10 and have a 1/38 probability of…

A:

Q: Your friend offers to place a bet with you. He will pay you $2 if your favorite sports team wins the…

A: Here we want to know the given statement is True or not.

Q: Three students ABC are in a running race. A and B have the same probability of winning and each is…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.