Question

Suppose that you and your friend alternately play a game. Both of your and your friend’s...

Suppose that you and your friend alternately play a game. Both of your and your friend’s chance of winning in each game is 0.5. All the outcomes are independent. Each of you will play 100 games.

Estimate the probability that you will win at least 5 more games than your friend.
Both Y and Z follows Bin(100, 0.5).
Y = number of games you win
Z = number of games your friend wins.

Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Suppose that you and your friend alternately play a game. Both of your and your friend’s...
Suppose that you and your friend alternately play a game. Both of your and your friend’s chance of winning in each game is 0.5. All the outcomes are independent. Each of you will play 100 games. Estimate the probability that you will win at least 5 more games than your friend. Both Y and Z follows Bin(100, 0.5). Y = number of games you win Z = number of games your friend wins.
Suppose you play a series of 100 independent games. If you win a game, you win...
Suppose you play a series of 100 independent games. If you win a game, you win 4 dollars. If you lose a game, you lose 4 dollars. The chances of winning each game is 1/2. Use the central limit theorem to estimate the chances that you will win more than 50 dollars.
You play 10 consecutive games of chance. In one single game, you win 100 dollars with...
You play 10 consecutive games of chance. In one single game, you win 100 dollars with probability 0.6, otherwise, you lose 150 dollars with probability 0.4. Assume that the outcomes of these 10 games are independent. a) Find the probability that you will win at least 500 dollars in these 10 games. b) Find your expected gain in these 10 games. (Hint: Write the gain as a function of the number of games in which you won.)
Two teams A and B play a series of at most five games. The first team...
Two teams A and B play a series of at most five games. The first team to win these games win the series. Assume that the outcomes of the games are independent. Let p be the probability for team A to win each game. Let x be the number of games needed for A to win. Let the event Ak ={A wins on the kth trial}, k=3,4,5. (a) What is P(A wins)? Express the probability with p and k. Show...
Your friend wants to play a game with a pair of dice. You win if the...
Your friend wants to play a game with a pair of dice. You win if the sum of the top faces is 5, 6, 7, or 8. The winner pays the loser $1 each game. Should you play?
A team play a series of games with win, lose, or draw outcomes. The transition probabilities...
A team play a series of games with win, lose, or draw outcomes. The transition probabilities between winning, losing, and drawing are averaged over a long time and treated as independent: Loss Draw Win Loss 0.3 0.4 0.3 Draw 0.4 0.5 0.1 Win 0.2 0.4 0.4 A. If the team wins two games in a row, what is the probability that it will draw its next game? B. On average the team wins 50% of the time, draws 20% of...
You are playing rock, paper, scissors (RPS) with a friend. Because you are good at predicting...
You are playing rock, paper, scissors (RPS) with a friend. Because you are good at predicting your friend’s strategy, there is a 60% chance each time that you play her, that you win. You play 7 games of rock, paper scissors with your friend and would like to know how many of them you win. Use this information to answer the following questions. 1.What is the probability that you win exactly three of the seven games played? (To four decimal...
My friend and I are playing a gambling game in which we each roll a die....
My friend and I are playing a gambling game in which we each roll a die. We then compare the numbers on the two dice to determine the outcome. If my roll is larger, I win $1 and my friend loses $1. If her roll is larger, I lose $1 and she wins $1. And if our two rolls are equal, we both don’t win or lose any money. (a) Write your answers as simplified fractions: What is the chance...
A local soccer team has 6 more games that it will play. If it wins its...
A local soccer team has 6 more games that it will play. If it wins its game this weekend, then it will play its final 5 games in the upper bracket of its league, and if it loses, then it will play its final 5 games in the lower bracket. If it plays in the upper bracket, then it will independently win each of its games in this bracket with probability 0.3, and if it plays in the lower bracket,...
The regular baseball season is 162 games. If a team wins 92 games, it will probably...
The regular baseball season is 162 games. If a team wins 92 games, it will probably make the playoffs. If the team has a 50% chance of winning each game, what is the probability that it will win exactly 92 games? What is the probability that it will win at least 92 games? Repeat these two calculations assuming the team to have a 55% chance of winning each game. [You can make some approximations if you like].
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT