You and a friend are rolling a seet of 7 die. 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 a 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 that 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 that 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? Step 5of5: IF we play another round, what is the probability that you will have 10 or more points?
You and a friend are rolling a seet of 7 die. 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)If we play a second round of this game, what is the probability that you will...
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. A)What is the probability you made 2 points? B)What is the probability that your friend will...
Please box or bold font answers. You and a friend are playing a game with 7 dice, in this game, you will receive points for every die that displays values less than 4 and your friend will receive points for every other die. The object of the game is to score more than 16 points before the end of the third round. Step 1 of 5: After the first round of this game, what is the probability you have 2...
You and a friend are playing a game. You alternate turns rolling a single die, and the first person to roll a 1 or a 2 wins. Your friend goes first. a. What’s the probability that the game ends in three rolls or fewer? b. What’s the expected number of rolls? c. What’s the probability that your friend wins?
15. Your friend challenges you to a game. She says that she is going to roll 2 6-sided dice. If the first die rolls at least 5, you win if the second die rolls less than 5. If the first die rolls less than 5, you win if the second die rolls at least 5. This seems fair. Is it? (a) What is the probability that you win this game? To incentivize you, your friend says that she will pay...
A friend devises a game that is played by rolling a single six-sided die once. If you roll a 6, he pays you $3; if you roll a 5, he pays you nothing; if you roll a number less than 5, you pay him $1.
Suppose you roll two 4 sided dice. Let the probabilities of the first die be represented by random variable X and those of the second die be represented by random variable Y. Let random variable Z be (X+Y). The range of Z will be from 2-8. 1.(2.5 points) Find E(Z). 2. (2.5 points) Find P(Z = 71Z > 5). 3.(2.5 points) What is the probability that you have to play the game 4 times before you roll Z=7? 4. (2.5...
Suppose you roll two 4 sided dice. Let the probabilities of the first die be represented by random variable X and those of the second die be represented by random variable Y. Let random variable Z be (X+Y). The range of Z will be from 2-8. 1.(2.5 points) Find E(Z). 2. (2.5 points) Find P(Z = 71Z > 5). 3.(2.5 points) What is the probability that you have to play the game 4 times before you roll Z=7? 4. (2.5...
You and a friend play a game where you roll a die. If an even number comes up, you give your friend $4. If an odd number comes up, your friend gives you the dollar amount shown on the die. a. Draw the probability distribution for this situation. b. What is YOUR expected value? You must show all your work for full credit.
2. "Craps" is a game played by rolling two fair dice. To play one round of this game, the player rolls the dice and the outcome is determined by the following rules: If the total number of dots is 7 or 11 (a "natural"), then the player wins. If the total number of dots is 2, 3, or 12 C'craps"), then the player loses. If the total number of dots is 4, 5, 6,8,9, or 10, then this number is...