You are given 5 to 1 odds against tossing three heads with three​ coins, meaning you win ​$5 if you succeed and you lose ​$1 if you fail. Find the expected value​ (to you) of the game. Would you expect to win or lose money in 1​ game? In 100​ games? Explain.

Q: Suppose that a lottery has the following odds: 1) If you pay $3 to play this game, what is the…

A: 1) Considering the provided distribution, the expected value without losing any money is,

Q: II. Find for the probability of the following experiments. 4. In choosing a card from an ordinary…

A: Total no of cards in a deck =52 No of kings = 4 No. Of queens = 4

Q: A certain game involves tossing 3 fair coins, and it pays 8¢ for 3 heads, 3¢ for 2 heads, and 1¢ for…

A: We have given,A fair coin is tossed 3 times. So, we can have following…

Q: Suppose you roll a die with probability of 1 being 2/14, 2 being 1/14, 3 being 4/14, 4 being 3/14, 5…

A: Note: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: 5. The odds of an event E occurring are 5 to 7. What is the probability that E will occur?

A:

Q: In the experiment of rolling two dice, what is the probability of obtaining a sum of at least 11 and…

A: solution for given experiment is as follows,

Q: Suppose that you and a friend are playing cards and decide to make a bet. If your friend draws three…

A: Given information- We have given a standard deck of 52 cards. My friend draws three hearts in…

Q: the game of roulette, a player bets $5 on a number and has a 1/38 chance of winning. If he wins, he…

A:

Q: Suppose that a player draws a card at random from a pack of cards, and wins $15 if an ace, king,…

A: Probability quantifies the chances of happening an event. The probability values always lie in the…

Q: Suppose that a lottery has the following odds: Amount won Probability of winning 0 3/5 2 1/5 5 1/10…

A: b)Here, Amount won, x Probability, P(x) x.P(x) 0 35 0 2 15 25 5 110 12 10 350 35 50…

Q: Compute the probability of event E if the odds in favor of E are 12 to 11. P(E) = 12 (Type an…

A: Odds in favor is given. i.e. odds in favor of E are 12 to 11

Q: 12. The probability of a car having heated seats is .25. If a car has heated seats, the probability…

A:

Q: Imagine you're rolling three four-sided dice (d4s) one after another. what is the probabillity as a…

A: As per our policy , we answer three sub parts at a time. So, kindly send another request for the…

Q: In an effort to promote better driving habits among teens, a local ministry of transportation office…

A: Since you have posted question with multiple subparts,we will solve first three subparts for you.To…

Q: When you bet $5 on the number 7 in roulette at a typical casino, you have a 37/38 probability of…

A: We know that the expected value E(X) for a discrete variable X is given by  E(X)=∑ixiP(xi)  where X…

Q: If you pick a card at random from a well shuffled deck, what is the probability that you get a face…

A: Solution  Given That, If you pick a card at random from a well shuffled deck, what is the…

Q: For the experiment of drawing a single card from a standard​ 52-card deck, find ​​(b) the odds in…

A: Solution:Total number of ways of drawing 1 cards from 52 cardsn(S)=52

Q: Consider the experiment of rolling two dice. a) What is the probability of obtaining a sum of seven?…

A:

Q: a genetics experiment on? peas, one sample of offspring contained 384 green peas and 345 yellow…

A:

Q: (b) A child has a box of candies which might have a toy inside. The odds against the box having a…

A:

Q: Using your Binomial Probability Tables, what is the probability of 4 successes out of 7 trials, if…

A: According to the given information, we have Probability of success for each trial is the same at…

Q: People were asked which fruit is their favorite: apples, oranges, or bananas. The results showed…

A: People were asked which fruit is their favorite: apples, oranges, or bananas. The results showed…

Q: As shown above, a classic deck of cards is made up of 52 cards, 4 suits with clubs and spades black…

A: From the provided information, Total cards = 52 Total cards of 5 number = 4 Total cards of 8 number…

Q: A survey of American women who were asked to name their favorite color yielded the following…

A: Find the probability that a randomly selected participants favorite color is yellow or black: It is…

Q: A certain game involves tossing 3 fair​ coins, and it pays 17c for 3​ heads, 8 for 2​ heads, and 2c…

A: Given data A certain game involves tossing 3 fair coins it pays 17c for 3 heads, 8c for 2 heads , 2c…

Q: Fifty students were surveyed about their favorite fruit. The Venn diagram shows the result Mango 5…

A:

Q: As shown above, a classic deck of cards is made up of 52 cards, 4 suits with clubs and spades black…

A: The total number of card in a classic deck of cards is 52.

Q: A beverage company puts game pieces under the caps of its drinks and claims that one in six game…

A: Odds of the situation is the ratio of favourable cases to unfavourable cases

Q: d) What's the probability that the individual didn't like vehicle #2 but s/he liked vehicle #3 e) (…

A: Given that P(A3) =0.55, p(A2 ∩A3) =0.30, P(A2) =0.40

Q: Consider the experiment of rolling two dice. a) What is the probability of obtaining a sum of seven?…

A: We have given that an experiment of rolling two dice.

Q: 5) The odds in favor of Jack passing Math is 7:2. The odds in favor of Alex passing Biology is 11:4.…

A:

Q: If ​P(A)=4/5 compute the odds in favor of A resulting from a single trial of an experiment

A: Given, P(A) = 4/5 Implies, there are 4 in favor of A in total 5 trials of an experiment  No of…

Q: 3. The question, “Do you play sports?" was asked of 80 students. The results of the survey are shown…

A: (a) Obtain the probability that the person plays sports given that the person is a male. The…

Q: The 2010 U.S. Census found the chance of a household being a certain size. The data is in the table…

A: Probability is the chances of occurrence of an event and it's value can be from 0 to 1. If the value…

Q: An internet job recruitment company, Companyl, claims on their website that their company doubles…

A:

Q: 13.) Suppose we throw 2 dice. Given that the sum of the dice is 10, what is the probability that one…

A: S={ (1,1) (1,2) (1,3) (1,4) (1,5) (1,6)  (2,1) (2,2) (2,3) (2,4) (2,5) (2,6)  (3,1) (3,2) (3,3)…

Q: d. If we know that a person is a Broncos fan, the probability that they have 6 or more siblings is…

A:

Q: George asked a random group of students what hand is their dominant hand. The results are below. If…

A: We have to find out given probability...

Q: For the experiment of drawing a single card from a standard​ 52-card deck, find ​(a) the probability…

A: The number of cards in a deck of cards is 52.

Q: An experiment consists of drawing two cards from a standard deck of 52 cards, without replacement.…

A: two cards drawn from the standard deck of  52 cards. a. We have to find the probability that the…

Q: f there is a 1 in 1,100 chance that you will pick the numbers correctly in tonight’s lottery, what…

A: Total number of numbers in a lottery = 1100 No.of numbers pick correctly in tonight’s lottery = 1…

Q: Consider the following scenario. the five-number bet   (a) Find the expected value of each $1 bet…

A: Total number in roulette wheel = 38 including (0 and 00) The five-number bet is a "row bet", that…

Q: The probability of randomly drawing a light blue crayon from a box of crayons is 1/24. What are the…

A: Idea: by using formula of odds against an event we solve this question

Q: A local community center is holding a raffle for its members.  There is one grand prize of $500,…

A: A) For a person: x (net profit) 495 95 20 -5 p (probability) 1/200 4/200 15/200 180/200 So,…

Q: As shown above, a classic deck of cards is made up of 52 cards, 4 suits with clubs and spades black…

A: Since, you have asked multiple question, we will solve the first question for you. If you want any…

Q: A bag of the same size small balls contains 6 blue balls, 5 red balls, 5 yellow balls, and 4 green…

A: Given that  There are 6 blue balls, 5 red balls, 5 yellow balls, and 4 green balls Total number of…

Q: Consider the following spinner, what are the odds iIn favor of spinning C? What is the probability…

A:

Q: 3. Use the method of your choice to determine the following probabilities about drawing cards from a…

A:

Q: Consider the experiment of rolling two dice. ​a) What is the probability of obtaining a sum of…

A: General formula of probability is ,   Consider the experiment of rolling two dice. All possible…

Q: Answer the problem using the Complement Rule of probability. Mrs. Magallungun had a box containing…

A: