Once a woman won $1 million in a scratch-off game from a lottery. Some years later, she won $1 million in another scratch-off game. In the first game, she beat odds of 1 in 4.2 million to win. In the second, she beat odds of 1 in 505,600. (a) What is the probability that an individual would win $1 million in both games if they bought one scratch-off ticket from each game? (b) What is the probability that an individual would win $1 million twice in the second scratch-off game? (a) The probability that an individual would win $1 million in both games if they bought one scratch-off ticket from each game is nothing. (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to the nearest tenth as needed.)

Once a woman won $1 million in a scratch-off game from a lottery. Some years later, she won $1 million in another scratch-off game. In the first game, she beat odds of 1 in 4.2 million to win. In the second, she beat odds of 1 in 505,600. (a) What is the probability that an individual would win $1 million in both games if they bought one scratch-off ticket from each game? (b) What is the probability that an individual would win $1 million twice in the second scratch-off game? (a) The probability that an individual would win $1 million in both games if they bought one scratch-off ticket from each game is nothing. (Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to the nearest tenth as needed.)

Name: Once a woman won $1 million in a scratch-off game from a lottery. So
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: Once a woman won $1 million in a scratch-off game from a lottery. Some years later, she won $1 million in another scratch-off game. In the first game, she beat odds of 1 in4.2million to win. In the second, she beat odds of 1 in505,600. (a) Wh

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Related questions

Q: A game-show spinner has these odds of stopping on particular dollar values: 55% for $5, 20% for $50,…

A: Given data in the problem is $5-->55%$50-->20%$100-->15% $1000-->10%

Q: Supposed a certain game is fair and costs $6 if you lose and has a net payoff of $9 if you win. The…

A: To find: What is the probability of winning?

Q: In a suppose business transaction, Juan is expected to gain P150,000 with probability of 0.70 or…

A: Given, In a business transaction, Juan gain P150,000 The probability of gain is p=0.70 Juan loss…

Q: Kevin is at a charity fundraiser and has a chance of receiving a gift. The odds in favor of…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: In a game of cards, your opponent offers to give P40 if you draw an ace and P20 if you draw a face…

A: Given, In a game of cards, Opponent offers, p40 if we get ace, P20 if we get faces, To pay P10 if we…

Q: How much profit should you make on a $14 bet if the payoff odds are

A: Let x be the profit. The profit is obtained by multiplying bet amount with payoffs odd. That is,…

Q: In a certain game, a player who bets $n either wins $2n (with probability 1/2) or loses the $n. So…

A: Given that, in a certain game, a player who bets $n either wins $2n (with probability 12) or loses…

Q: You are playing a game by flipping a fair coin. You will win the game as soon as you get a tail.…

A: let X be the number of trials until the first success. X~Geop The probability density function of X…

Q: 2. Suppose you're on the Las Vegas strip, and an enthusiastic stranger approaches you asking if…

A: a. For a valid probability distribution, P(X=x) ≥ 0 and Σ P(X=x) = 1

Q: You have 8 ruppees to gamble with your best friend, with capital of 5 Ruppees. The probability of…

Q: (a) Student A would like to visit a country where 92% of the population speaks the native language.…

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: Your probability professor wants to replace the value 4 in the probability distribution in (a) to…

Q: A game-show spinner has these odds of stopping on particular dollar values: 55% for $5, 20% for…

A: The odds of player wining $500 is 15% and the odds of player wining $1,000 is 10%.

Q: What is your expcted value fora game where your probability of winning is 1/9 and your profit is 4…

Q: win with 55% probability, your friend 30k. There is no draw. You decide to play a series of games.…

A: let the event of winning me E1 and the event of winning of my friend is E2 then P(E1) =55100= 0.55…

Q: Donald is watching an old game show rerun on television called Let’s Make a Deal in which the…

A: Given data Gag prize = $120 World trip = $8100 Probability of choosing a gag price = 0.75 x…

Q: rom a sack of fruit containing 3 bananas, 3 apples, and 3 oranges, a random sample of 4 pieces of…

A: There are 3 bananas, 3 apples, and 3 oranges in a sack of fruit.Sample size X is the number of…

Q: Joan is playing a game. She is flipping a coin until a Head shows up. Her friend Susan has placed a…

A: Given datajoan is playing a gamep=0.5

Q: The Cyclones play Baylor on Tuesday. If the odds for the Cyclones winning are 7:2, what is the…

A: The odds for the Cyclones winning are 7:2

Q: You are given the opportunity to play two different lotteries at no cost. The first lottery is a…

A: First Lottery : Win $150 with probability 1/2 Lose $100 with probability 1/2 Second Lottery : Win…

Q: A company produces products at a cost of $30 each. Defective products cost an additional $16 each to…

A: Given that:The probability of no defective products is 80%=0.805% of 600=0.05×600=30. So the…

Q: At races, your horse, White Rum, has a probability of 1/20 of coming 1st, 1/10 of coming 2nd and a…

A: Given data is : At races, your horse, White Rum, has a probability of 1/20 of coming 1st, 1/10 of…

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

Q: QUESTION 6. Two gamblers have a big pile of money on the table. They will each draw one card from a…

A: Given that - Two gamblers have a big pile of money on the table. They will each draw one card from a…

Q: A gumball machine contains 6 red gumballs, 5 blue gumballs, and 4 yellow gumballs. You put a coin in…

Q: How can I answer both A and B using excel?

A: Given: P (B) = 0.60 P (A | B') = 0.50 P (A | B) = 0.25

Q: A telemarketer is paid $10 for each sale she makes. The probability that any call she makes results…

Q: The college student senate is sponsoring a spring break Caribbean cruise raffle. The proceeds are to…

A: Given that The value of the cruise is $2000. The students sold 2204 raffle tickets at $5 per…

Q: The college student senate is sponsoring a spring break Caribbean cruise raffle. The proceeds are to…

Q: If the probability of an event is 72%, what is the probability of its complement?

A: The probability of an event is =72%=0.72

Q: One card is drawn from a well-shuffled deck of fifty-two cards (no jokers). (a) Find the…

A: (a) The probability formula is, Probability=Number of favourable outcomesTotal outcomes A standard…

Q: c) A manufacturer is considering the production of a new and better mousetrap. She estimates the…

A: It is required to determine whether the manufacturer should proceed with plans for the new…

Q: wo chefs (Mike and Larry) cook at a diner. Mike cooks twice as many dishes as Larry. ZAGAT has…

Concept explainers

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.

Topic Video

Question

Once a woman won $1 million in a scratch-off game from a lottery. Some years later, she won $1 million in another scratch-off game. In the first game, she beat odds of 1 in

4.2

million to win. In the second, she beat odds of 1 in

505,600.

(a) What is the probability that an individual would win $1 million in both games if they bought one scratch-off ticket from each game?

(b) What is the probability that an individual would win $1 million twice in the second scratch-off game?

(a) The probability that an individual would win $1 million in both games if they bought one scratch-off ticket from each game is

nothing.

(Use scientific notation. Use the multiplication symbol in the math palette as needed. Round to the nearest tenth as needed.)

Video Video

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Given data,

VIEW

Step 1

VIEW

Step 2

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 3 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Discrete Probability Distributions$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, probability and related others by exploring similar questions and additional content below.

Similar questions

A raffle sells 3000 tickets and 50 of them win a prize. If a person buys a raffle ticket, determine their:(a)odds against winning a prize and simplify. (b)odds in favor of winning a prize and simplify.
Charlie buys a one-year term home insurance policy for $p, that will pay $200,000 in the event of a major catastrophe and $35,000 in the event of a minor catastrophe. Charlie's home has a 0.2% chance of a major catastrophe and a 0.7% of a minor catastrophe during the one year term. What did the insurance company charge Charlie for this policy if the company expected to break even?
The college student senate is sponsoring a spring break Caribbean cruise raffle. The proceeds are to be donated to the Samaritan Center for the Homeless. A local travel agency donated the cruise, valued at $2000. The students sold 2374 raffle tickets at $5 per ticket. Kevin bought thirty-four tickets. What is the probability that Kevin will win the spring break cruise to the Caribbean? (Round your answer to five decimal places.)What is the probability that Kevin will not win the cruise? (Round your answer to five decimal places.) Expected earnings can be found by multiplying the value of the cruise by the probability that Kevin will win. What are Kevin's expected earnings? (Round your answer to two decimal places.)$ Is this more or less than the amount Kevin paid for the thirty-four tickets? How much did Kevin effectively contribute to the Samaritan Center for the Homeless? (Round your answer to two decimal places.)$
if odds that joel will get a job offer are 7:2, what is probability that he will get a job offer?
(a) Student A would like to visit a country where 92% of the population speaks the native language. However, Student A does not speak and understand that language. What is the probability that at least two of three locals at the immigrant department of the airport will succeed to communicate with Student A? Answer = Answer (b) Research Scientist A investigates the infected laboratory rats in modeling human diseases. Research Scientist A finds out the probability of the laboratory rats getting infected is two out of ten. What is the probability that five laboratory rats must be required before Research Scientist A finds at least three laboratory rats but not all have been infected? Answer = Answer (c) A badminton game consists of at least two matches, and each match consists of 21 points. The probability of Player A and Player B earning a point in their matches are 80% and 90%. What is the probability difference between Player A and Player B to get their second points within…
In this problem, the gambler’s idea of odds does not enter at all. a. The odds of an event are 1/5. What is the probability of the event occurring? b. The probability of an event is 2/3. What are the odds of the event occurring?
There is a game of chance called "Lightning Dice" at a charity carnival. It costs $2 to play. The player then rolls 4 dice. If the player rolls 3 or more sixes, then the player wins $30. Otherwise, the player wins nothing. How much can you expect to gain or lose if you play this game 68 times?
Kaya is planning a 4-day vacation at the beach. The forecast has a 25% chance of rain for each of those three days. What is the probability that it will rain just one of the four days? Show calculations and explain reasoning!
A game-show spinner has these odds of stopping on particular dollar values: 55% for $50, 20% for $100, 15% for $500, and 10% for $1000. What are the odds of a player winning $50 or $100?
If the odds on a bet are 42:1 against, what is the probability of winning?
At races, your horse, White Rum, has a probability of 1/20 of coming 1st, 1/10 of coming 2nd and a probability of ¼ in coming 3rd. First place pays $5,000 to the winner, second place $4,000 and third place $1,350. Hence, is it worth entering the race if it costs $1050?
maya is playing a role playing game with her friends. She will roll a dice to determine if her character casts a spell. The odds in favor of her character casting a spell are 8/7. Find the probability of her character casting a spell.