Janelle plays a game in which she chooses a card at random from a standard deck of 52 cards. If the card selected is a face card, she wins $2; if it is an ace, she wins $5; if it is an even numbered card, she wins $1; but if it is an odd numbered card, she loses $3. Find her expected gain for this game.

Q: Your company is considering offering 300 employees the opportunity to transfer to its new…

A: Given Employees=300Managers=200 Factory workers=300Miscellaneous staff=200

Q: Rick told Morty he would let him fly a spacecraft if Morty drew three Jacks and two sevens (in no…

A: Solution

Q: Three players, A, B and C, take turns tossing a fair six-sided die in the following sequence: ABC…

A: Given Information: The sequence in which a fair six-sided die is tossed in turns by players A, B,…

Q: A bag contains 5 gold marbles, 9 silver marbles, and 26 black marbles. The rules of the game are as…

A:

Q: In a game of bridge, West has no aces. What is the probability of his partner’s having a. No aces?…

A: Given that, West has no ace The partner of the west will be East. There are a total of 52 cards in a…

Q: a.) A box of candies contains 10 yema candies, 8 Sampaloc candies, and 6 bucayo candies. Eduardo…

A:

Q: Given a standard deck of cards, and you draw a single card at random. What is the probability of…

A: no.of 7 numberd cards=4no.of 8 numberd cards=4total no.of cards=52

Q: If two events A and B are independent and you know that P(A) = 0.60, what is the value of P(A | B)?

A: Solution: From the given information, A and B are two independent events and P (A) =0.60.

Q: A game of chance is considered fair, or equitable, ifeach player’s expectation is equal to zero. If…

A: From provided information; Die is balanced and probability of occurrence of each face is equal which…

Q: If two events A and B are independent and you know that P(A) = 0.70, what is the value of P(A | B)?

A: If the event A and B are independent

Q: As shown above, a classic deck of playing cards is made up of 52 cards, 26 of which are black and…

A:

Q: Martina is playing a game of chance in which she tosses a dart into a rotating dartboard with  8…

A: a) According to the given information, the dartboard is equally divided into eight equal parts,…

Q: With what number outcome -15 must be changed to make the game fair ?

A: Let the new number in place of -15 will be x. To make the game fair, the expected outcome must be…

Q: 10. Ron was playing a game of blackjack. Assuming the 52-card deck was randomly shuffled, what is…

A: To find the percent probability that he will be dealt a face card followed by a two in any suit:

Q: The event with outcomes shown by an * is: A. Pr( Head AND (Odd OR Tail) AND EVEN) B. Pr( (Head AND…

A:

Q: if 2 events A and B are independant and you know that P(A) = 0.75, what is the value of P(A|B)

A:

Q: Marlon is going to roll a six-sided die, and if he rolls a 3, he gets $10. It costs him $2 to enter…

A: Random variables are of 2 types, discrete and continuous. A discrete random variable can only take…

Q: The table below shows the number of students who play different instruments ina music class…

A: The frequency distribution of number of students who play different instruments in a music class is…

Q: The world famous gambler from Philadelphia, Señor Rick, proposes the following game of chance: You…

A: Given Information: A fair die is rolled. If 1 is rolled, then Señor Rick pays you $20. If 2 is…

Q: When you bet on a racehorse with odds of m-n, you stand to win m dollars for every bet of n dollars…

A: Given :- When you bet on a racehorse with odds of m-n, you stand to win m dollars for every bet of n…

Q: In the carnival game​ Under-or-Over-Seven, a pair of fair dice is rolled​ once, and the resulting…

A: Hi! Thank you for the question, As per the honour code, we are allowed to answer three sub-parts at…

Q: If three people, Joe, Betsy, and Sue, play a game in which Joe has a 25% chance of winning and Betsy…

A: Given, Three people, Joe, Betsy, and Sue, play a game The probability that Joe wins = 0.25 The…

Q: For a family with 2 children, the sample space indicating boy (B) or girl (G) is BB, BG, GB, and GG.…

A: If the first child is a boy then there can be 2 outcomes. BB and BG Among those 2 cases only BB has…

Q: A certain game involves tossing 3 fair​ coins, and it pays 7¢ for 3​ heads, 5¢ for 2​ heads, and 1¢…

A: Here, the H denotes the event corresponds to head and T denotes the event corresponds to tail.

Q: In another game at Bonehead Casino in Reno, the player draws one card from a standard deck. If it is…

A: Expectation of a Discrete Random Variable: The expectation of a discrete random variable X, denoted…

Q: If two events A and B are independent and you know that P(A) = 0.50, what is the value of P(A | B)?

A: As the events A and B are independent, the probability of occurrence of A is not impacted by the…

Q: A bag contains 5 gold marbles, 9 silver marbles, and 21 black marbles. The rules of the game are as…

A: Given:Number of gold marbles=5Number of silver marbles=9Number of black marbles=21Total number of…

Q: For two events A and B, you are given that P(A) = 0.64, P(B)=0.4 and P(A or B)=0.8. What is the…

A: From P(A or B)=0.8 we get: or, P(A)+P(B)-P(A and B)=0.8 or, 0.64+0.4-P(A and B)=0.8 or, P(A and…

Q: his past​ semester, a professor had a small business calculus section. The students in the class…

A: Given data,   Total number of students in a class =10   If 2 students are selected at random   P(…

Q: If the events A and B are independent, then so are A and B

A:

Q: Which of the following rows shows the probabilities of the three Outcomes? ww

A: Here given spinner is shape of circle  So Total angle 360  And number  2 make 90 degree While 3 and…

Q: Marty has a jumble of socks in his drawer. If he picks a pair of socks randomly from his drawer,…

A: From the provided information, Total pair of socks = 10 Total grey pair = 4

Q: Rachel is playing a game of chance in which she tosses a dart into a rotating dartboard with 8…

A:

Q: You draw two cards while playing Blackjack from a standard deck of 52 cards without replacing the…

A: Solution: Note: Hello! As you have posted more than 3 sub parts, we are answering the first 3…

Q: As shown above, a classic deck of playing cards is made up of 52 cards, 26 of which are black and…

A: Solution: Total cards = 52  Black cards=26  and Red cards= 26 Each color is split into 2 suits of…

Q: Consider the following game played with an ordinary deck of 52 playing cards: The cards are shuffled…

A: After shuffling the deck of card probability that ace of spade turned out after guessing is 1/52…

Q: Your company is considering offering 600 employees the opportunity to transfer to its new…

A: There are 300 managers, 400 factory workers and 300 miscellaneous staff. Total number of employees =…

Q: ou draw a card from a deck of 52 cards. If the card is a spade, you win $5, but if the card is not a…

A: Total Number of Cards = 52 Number of spades = 13 Not Spade cards = 52 - 13 = 39 X P(X) 5 13/52…

Q: You draw two cartds while playing blackjack from a standard deck of 52 cards without replacing the…

A: a. They are not independent because probability of drawing each card are not equal on each trial. b.…

Q: the probability that she was asleep? • If the cat requests a game of fetch when petted, what is the…

A: Let us define some events A : a cat is asleep  B : a cat is not asleep. E : a cat requests food when…

Q: Find the probabilities of the events: (a) {Y < 8- (2|X|/3)}, and (b) {Y < 8+ (2įX|/3)}. Compare the…

A:

Q: James placed a $25 bet on a red and a $5 bet on the number 33 (which is black) on a standard 00…

A: It is given that the mean and standard deviations are –1.581 and 35.053. The sample size n is 2,500.

Q: In a bridge deal, what is the probability that: a) West has four spades, two hearts, four diamonds,…

A: As due to the honor-code, we are authorized to answer only 3 subparts for each question and that you…

Q: Guadalupe plays a game where she draws one card from a well-shuffled standard deck of 52 cards 2.…

A: 1 card is drawn, what is the probability that, 1 card is KING or 1 card is ACESolution:Total number…

Q: The table below shows the probability of winning 0-5 dollars playing a game.   Amount Won ($) 0 1…

A: Given data and calculation for expected winning amount

Q: If two events A and B are independent and you know that P(A) = 0.85, what is the value of P(A | B)?

A: If two events A and B are independent then,

Q: If the mathematical expectation of a game is $0.00, what would it mean? If I were to play this game…

A: Given Data: Let X represent the profit from game   E(X)=0

Q: Ana and Chris are playing a game in which they roll a cube with sides numbered from 1 to 6. To win…

A: We have to check

Q: Find the odds of picking one card from a well-shuffled standard deck that is a black card or a face…

A: Solution :  Odds = p/1-p Odds = (32/52) /(1-(32/52) )  Odds = (32/52) /(20/52)  Odds = 32/20

Q: Marty has a jumble of socks in his drawer. If he picks a pair of socks randomly from his drawer,…

A: Given that,Marty has a jumble of socks in his drawer.Total number of pair of socks =10