A bag contains 2 gold marbles, 6 silver marbles, and 30 black marbles. Someone offers to play this game: You randomly select one marble from the bag. If it is gold, you win $4. If it is silver, you win $2. If it is black, you lose $1. What is your expected value if you play this game?

Q: A restaurant will select 1 card from a bowl to win a free lunch. No outs 5 cards in the bowl. The…

A: Given: A: Event of random experiment Ac: Odds in favor of  event A PA=Probability of an event Then…

Q: A fun size bag of M&Ms has about 17 candies. You open one of the bags and discover: 3 Blues, 4…

A: From the information, given thatThe total number of candies=17The total number of blue candies =…

Q: A charity organization is holding a raffle. Each ticket costs $14. One winner will win $1500, two…

A:

Q: What score is expected?

A: Here use binomial distribution

Q: A resturant will select 1 card from a bowl to win a free lunch. Jo puts 5 cards in the bowl. the…

A: Odds in favour: The odds in favour of the event is given by the ratio of the probability of the…

Q: If the probability that the Yankees will win a baseball game is 60%, find the probability that the…

A: The probability that Yankees will win a baseball game is 60%, that is PWinning=0.60.

Q: Todd and Tiff both train pets. Todd trains 30% of pets and Tiff trains 70% of pets. Todd’s pets are…

A: Given that P(Todd trains)=0.30 P(Tiff trains)=0.70 P(female| Todd) =0.55 P(female| Tiff) =0.65

Q: You pay $20 to enter a raffle.  The first ticket drawn wins $912, the second ticket drawn wins $481,…

A:

Q: Marleny is creating a game of chance for her family. She has 5 different colored marbles in a bag:…

A: From the provided information is  E(X)=-2*P(X=-2)+p*P(X=p)E(X)=-2*45+p*150=-85+p50=-8+pp=8

Q: There are 20 sides to the messages.  What is the probability of getting the same message 2 times in…

A: The probability of getting a specific message on the first try is 1/20,since there are 20 total…

Q: Mark has the choice of playing two different games. When he plays poker, the odds in favor of him…

A: Mark has the choice of playing two different games   First game : When he plays poker, the odds in…

Q: Hadey is running a game of chance to raise money for a trip to Jamaica to visit his grandparents. A…

A: Introduction: Denote p1, p2, p3, p4, p5, and p6 as the respective true proportions of obtaining the…

Q: In a card game, there are 15 cards laid out on a table. 6 of the cards are blank, 2 of the cards are…

A: Here, we use the expected value and probabilty for the purpose of knowing the variables probability…

Q: ten percent of adults say oatmeal is their favorite cookie. You randomly select 12 adults and aks…

A: Given that  Number of trials n=12 Success of probability p=0.10 X~binomial (n,p) nCx = n!/x!(n-x)!

Q: A bag contains 9 blue marbles, 10 red marbles, 4 white marbles. If one marble is drawn from the bag…

A: Given Information: A bag contains 9 blue marbles, 10 red marbles, 4 white marbles. Total number of…

Q: Steve has 12 biscuits in a tin. There are 5 digestive and 7 chocolate biscuits. Steve takes two…

A: Given that, Total number of biscuits = 12 5 digestive biscuits and 7 chocolate biscuits We to find…

Q: You pay $20 to enter a raffle.  The first ticket drawn wins $983, the second ticket drawn wins $474,…

A: The expectation of a discrete random variable X, denoted by E(X), is defined as a measure of central…

Q: A restaurant will select 1 card from a bowl to win a free lunch.  Jo puts 5 cards in the bowl.  The…

A: Given:-   Total cards =100 free lunch winning cards =5   we have to find the probability of winning…

Q: Fred and Wilma argue over how many children they should have. Fred wants at least 5 boys. If Fred…

A:

Q: You have a 30-sided dice. Your friend Hugo has three favorite numbers: 5, 3, and 10. What is the…

A: Given You have a 30-sided dice. Your friend Hugo has three favorite numbers: 5, 3, and 10.

Q: A pair of dice is rolled. What are the odds of rolling a sum of 4 or a sum of 5? The odds of rolling…

A:

Q: You randomly select one card from a​ 52-card deck. Find the probability of selecting the king of…

A: It is known that Number of cards in a deck = 52 Number of king of diamonds = 1 Number of two of…

Q: A gumball machine has 40 red, 30 white and 10 yellow gumballs in it, and you purchase one gumball at…

A: Answer- A gumball machine has 40 red, 30 white and 10 yellow gumballs in it.  Total = 40 + 30 + 10 =…

Q: Imagine you have a bag containing 5 red, 3 blue and 2 orange chips. If drawing without replacement,…

A: Given,Number of red chips, n(red) = 5Number of blue chips, n(blue) = 3Number of orange chips,…

Q: How many outcomes are possible when you roll 3 dice?

A: Here, we need to find out the total possible outcomes to roll 3 dice.

Q: A jar on your desk contains ten black, eight red, seven yellow, and five green jellybeans. You pick…

A: Introduction: The odds of an event A, is the ratio of the probability in favor of the event A, to…

Q: If you draw a random card from a standard deck of 52 cards, what are the odds of drawing a jack?…

A: Given data: The total numbers of cards are n=52. The numbers of jacks in the playing deck of the…

Q: Caleb rolls two regular six sided dice determine the odds against him rolling an odd or a sum of 4

A: Given that Caleb rolls two regular six sided dice we have to find the odds against him rolling an…

Q: Whitney wants to practice shooting for basketball.  Her mom will give her $20 if she makes 3 free…

A: If each trial has only two possible outcomes, that is, success and failure, the probabilities of…