Question

You and a friend are rolling a set of 6 dice. The game works such that...

You and a friend are rolling a set of 6 dice. The game works such that if a die shows the values 1, 2, or 3 you will get a point for that die. Each die that shows 4, 5, or 6 your friend will get a point for.
Construct a probability model for a single roll of the dice then answer the following.

Step 1 of 5:

What is the probability you made 2 points?

Step 2 of 5:

What is the probability that your friend will score 2 points?

Step 3 of 5:

What is the probability you score 4 or more points in this round

Step 4 of 5:

If we play a second round of this game, what is the probability that you will have exactly 6 points at the end of the second round? [In this situation there have been a total of 12 dice rolled]

Step 5 of 5:

If we play another round [a total of 18 dice rolled] what is the probability you will have 10 or more points?

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

Homework Answers

Answer #1

Step 1 of 5: as probability of a point on single die =1/2 (as there are 3 outcome to get a point out of 6)

probability you made 2 points =6C2(1/2)3(1/2)4 =0.234375

Step 2 of 5: probability that your friend will score 2 points =6C2(1/2)3(1/2)4 =0.234375
Step 3 of 5: probability you score 4 or more points in this round =P(X>=4)=P(X=4)+P(X=5)+P(X=6)

=6C4(1/2)4(1/2)2 +6C5(1/2)5(1/2)1 +6C6(1/2)6(1/2)0 =0.343750

Step 4 of 5: P(X=6)=12C6(1/2)6(1/2)6 =0.225586

Step 5 of 5:

P(X>=10)= =0.407265

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
You and a friend are rolling a set of 5 dice. The game works such that...
You and a friend are rolling a set of 5 dice. The game works such that if a die shows the values 1, 2, 3, or 4 you will get a point for that die. Each die that shows 5 or 6 your friend will get a point for. Construct a probability model for a single roll of the dice then answer the following. Step 1 of 5: What is the probability you made 2 points? Step 2 of 5:...
You and a friend are rolling a set of 7 dice. The game works such that...
You and a friend are rolling a set of 7 dice. The game works such that if a die shows the values 1, 2, 3, or 4 you will get a point for that die. Each die that shows 5 or 6 your friend will get a point for. Construct a probability model for a single roll of the dice then answer the following. A)What is the probability you made 2 points? B)What is the probability that your friend will...
Bunco is a group dice game that requires no skill. The objective of the game is...
Bunco is a group dice game that requires no skill. The objective of the game is to accumulate points by rolling certain combinations. The game is played with three dice, but we will consider a simpler version involving only two dice. How do you play two dice Bunco? There are six rounds, one for each of the possible outcomes in a die, namely the numbers one through six. Going clockwise, players take turns rolling two dice trying to score points....
A game consists of rolling two dice. The game costs $2 to play. You roll a...
A game consists of rolling two dice. The game costs $2 to play. You roll a two dice. If the outcome totals 9 you get $10. Otherwise, you lose your $2. Should you play the game? Explain using probability.
• Compute the sampling distribution when you add the outcome of rolling two dice. o What...
• Compute the sampling distribution when you add the outcome of rolling two dice. o What is the probability that the sum will be higher than or equal to 9? o What is the probability that the sum will be between 4 and 6? o What is the probability that the sum will be higher than 9 given that one die is a 6? • A friend of yours rolls two dice and claims that the addition of those two...
Chicago is a group dice game that requires no skill. The objective of the game is...
Chicago is a group dice game that requires no skill. The objective of the game is to accumulate points by rolling certain combinations (GamezBuff, 2017). How do you play Chicago? There are eleven rounds in the game, one for each combination that can be made by adding two dice, namely the numbers two through 12. Each round has a target combination starting with two and going up all the way to 12. Going clockwise, the players take turns to roll...
Problem 4)A simplified version of the dice game 10,000 is played using 5 dice. The player...
Problem 4)A simplified version of the dice game 10,000 is played using 5 dice. The player rolls the 5 six-sided dice, each 1 that is rolled, the player achieves a score of 100. A) How many possible ways are there to roll i l's over these 5 dice? (Hint: use combinations) B) The probability of any one dice rolling to a value of 1 is 1/5 (since each dice has six sides). Use the binomial probability distribution. Calculate the probability...
You are playing another dice game where you roll just one die--this time, you lose a...
You are playing another dice game where you roll just one die--this time, you lose a point if you roll a 1. You are going to roll the die 60 times. Use that information to answer the remaining questions. A. What are the values of p and q? (Hint: notice this is binomial data, where p is the probability of losing a point and q is the probability of not losing a point.) p =    and q = B....
If a pair of dice is rolled, what is the probability of a) rolling a sum...
If a pair of dice is rolled, what is the probability of a) rolling a sum of 8, b) rolling a sum of 3 or rolling a sum of 6, c) rolling a sum of 4 or rolling doubles, if a pair of dice is rolled twice, whatnis the probability of d) rolling a sum of 9 on the first roll and rolling a sum of 2 on the second roll
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?
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT