There are some 1-dollar bills, some 5-dollar bills, and a 20-dollar bill in an envelope. The number of 1-dollar bills is five times the number of the 5-dollar bills. We randomly pull a bill from the envelope. How many 1-dollar bills are in this envelope if the expected value of the bill pulled is $2.00?

Q: The expected number of times the number 3 shows up on 120 rolls of a fair dice equals 20. True False

A:

Q: You toss a fair coin three times: What is the probability of three heads, HHHHHH? What is the…

A: You toss a fair coin three times:

Q: In the game of​ roulette, a player can place a ​$5 bet on the number 35  and have a 1/38 probability…

A: Given information- We have given that in the game of​ roulette, a player can place a ​$5 bet on the…

Q: In a game, you have a 1/43 probability of winning $142 and a 42/43 probability of losing $6. What is…

A: The probability of winning $142 is 1/43 and the probability of losing $6 is 42/43.

Q: you draw a single card from a standard 52-card deck. Of it is an ace, you win $104. Otherwise you…

A: There are total 4 aces in a standard deck of cards.  So the probability of picking an ace is = 4/52=…

Q: Stephen Curry is one of the best at free throw shooting and assume that he has the free throw…

A: Here Given the percentage of free throw =0.9=p So Here  Probability of each throw is constant…

Q: In a raffle, one ticket out of 1,000 will win a $130 prize. The rest will win nothing. If you have a…

A:

Q: In a highly academic suburban school system, 45% of the girls and 40% of the boys cake advanced…

A: Given that Girls enrolled in the high schools of the district = 2200 Boys enrolled in the high…

Q: In the game of roulette, a player can place a $4 bet on the number 9 and have a probability of…

A:

Q: a.) What is the expected value of the race for you and your horse? b.) Is it worthwhile to enter…

A: p(X) Prize  Cost Profit (X) xp(x) 0.05 4400 1000 3400 170 0.12 3300 1000 2300 276 0.35 1400…

Q: In a gambling game, you toss a coin 3 times. If all 3 tosses are heads you get paid $10.Otherwise,…

A:

Q: You roll a single dice two times. What is the probability of rolling zero even numbers?

A:

Q: A person buys a raffle ticket for $20. 500 tickets are sold. One winner is chosen and receives…

A:

Q: In the game of​ roulette, a player can place a ​$8 bet on the number 22 and have a 138…

A:

Q: In a family with 2 children, excluding multiple births and assuming that a boy is as likely as a…

A: Let B=Boy and G=Girl Possible number of outcomes for two children are {BB, BG, GB, GG} Let x= number…

Q: You roll a fair six sided die thirty times. What is the expected number of times the die lands on 2?

A: Roll a fair six sided die thirty times.

Q: In a raffle where 6000 tickets are sold for $2 each, one prize of $7900 will be awarded.   What is…

A:

Q: At a raffle, 250 tickets are sold for $4 each for one grand prize of $500 and two prizes of $50…

A: It can be assumed one ticket corresponds to one prize.  Since, there are 250 ticket proabability of…

Q: Caleb has a four-sided die, a six-sided die, and a 12-sided die. He rolls the three dice and adds up…

A: Given data: The number of the four-sided dies is a=1. The number of the six-sided dies is b=1. The…

Q: what

A:

Q: You have 3 quarters and 4 dimes in your pocket. You draw two out at random. What is the expected…

A:

Q: Find the expected value (for the participants) for lottery with 4000 sold tickets by price $50.00…

A: Given data is : 4000 ticket Price per ticket is $50.00 One winning ticket is $12000

Q: On three rolls of a single​ die, you will lose ​$12 if a 6 turns up at least​ once, and you will win…

A: On three rolls of a single​ die, you will lose ​$12 if a 6 turns up at least​ once, and you will win…

Q: A bag has three times as many green marbles as there are blue. If you take 8 marbles from this bag,…

A: In question,  Given that a bag has three times as many green marbles as there are blue marbles, 8…

Q: You have 3 quarters and 2 dimes in your pocket. You draw two out at random. What is the expected…

A: 1 quarter = 25 cent 1 dime= 10 cent Three cases can happen.  we can get 1) 2 quarters, 2) 1 quarter,…

Q: Find the expected value.

A: Let X denote the rush X = 80 with a probability of 0.35  and X = 60 with a probability of 0.65…

Q: At a lottery competition, a person pays 20R to participate in the competition. If he rolls two dice…

A: Expected gain = sum(p*x)

Q: An insurance policy sells for $700.  Based on past data, an average of 1 in 50 policyholders will…

A: Let us make a table for the claims and the probabilities  claim 5500 10000 25000 probability…

Q: In the game of roulette, a player can place a $5 bet on the number 9 and have a an probability of…

A: P(winning) = 1/38 Amount on winning = 175 P(loss) = 1-1/38 = 37/38 Amount on losing = -5

Q: An insurance policy sells for $1,000. Based on your past data, an average of 1 in 50 policyholders…

A: The expected value for the company per policy sold can be calculated using the following…

Q: In a game you have a 1/99 probability of winning $500 and a 98/99 probability of losing $30. What is…

A: Formula to find expected value is as follows : E(X) = ∑xP(x)

Q: A game has an expected value to you of ​$400. It costs ​$400 to​ play, but if you win you receive​…

A: Given Information :  A game has an expected value to you of ​$400. It costs ​$400 to​ play, but if…

Q: What is the expected value of your bet

A: here given, you and a friend are playing cards and decide to make a bet. If you draw two clubs in…

Q: raffle offers one Php20,000 cash prize, two Php15,000 prizes, and three Php10,000 prize. Also,  five…

A:

Q: Suppose that you and a friend are playing cards and decide to make a bet. If you draw three fives in…

A: GivenIf you draw three fives in succession from a standard deck of 52 cards with replacement, you…

Q: In a proposed business venture, a company estimates that there is a 60% chance the company will make…

A: Introduction: Hey there! Thank you for the question. As you have posted multiple questions,…

Q: A box contains 5 red and 4 green marbles. If 6 marbles are drawn without replacement, what is the…

A: We have given that Number of success (k) = 5 Population size (N) = 5+4 = 9 Sample size (n)  = 6

Q: If a player rolls 2 dice and gets a sum of 3 or 11, he wins $10. If he gets a sum of 7, he pays $5.…

A:

Q: In a game, you have 1/33 probability of winning $121.00 and a 32/33 probability of loosing $7.00.…

A: X($) 121 -7 P(X=x) 1/33 32/33

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

A: Let 'x' represent amount gained or lose by a player .Expected value of the player can gain or lose…

Q: If the expected value for a five dollar raffle ticket is $0.85, then there is a 85% chance that the…

A: here expected vaue is 0.85$ which means player expect to win 0.85$V on each game played on a long…

Q: If the publishing company has a total of 280 sales representatives, what is the expected bonus that…

A: The given data is, X P(X) X*P(X) 24000 0.11 2640 13000 0.35 4550 6000 0.12 720 Total 1…

Q: Enrique buys a bag of cookies that contains 9 chocolate chip cookies, 4 peanut butter cookies, 6…

A: A bag contains 24 cookies in which 9 chocolate chip cookies, 4 peanut butter cookies, 6 sugar…

Q: You draw and keep a single coin from a bowl that contains 12 pennies, 9 dimes, and 20 quarters. What…

A: The given information is that the bowl contains the12 pennies, 9 dimes, and 20 quarters.It is known…

Q: In the game of​ roulette, a player can place a ​$5 bet on the number 20 and have a 138…

A: Given:

Q: What is the expected value of a single ticket in the raffle?

A: To find  expected value of a single ticket in the raffle

Q: At a game of chance, the expected value is found to be -$1.50, and the cost to play the game is…

A: Given: Expected value = $-1.50 cost  to play game= $4.00 To find the Fair Price  to play the game.

Q: In the game of roulette, a player can place a $5 bet on the number 7 and have a 1/38 probability of…

A: E[x] = ∑xP(x) P(x) = 1/38 , x = 175  and....

Q: What is the Expected value if there is a probability of .70 that you Win $14,000,and a probability…

A: Expected value: The expected value of a random variable is the sum of the possible values that the…

Q: A robber is thinking of committing  a robbery. He has a 0.5 probability of obtaining $2500 and a 0.5…

A: Given information: In a robbery, let X be the amount obtained on committing a robbery. The…