Please can you help me (Probability)
posted by Fakaapo. Suetusi .
Maria is playing a game of chance at the Hibiscus festival, costing $1 for each game. In the game two fair dice are rolled and the sum of the numbers that turn up is found. If the sum is seven, then Maria wins $5. Otherwise Maria loses her money.
a) Please can you Construct Maria’s probability distribution for gaining.
Thank you for your help.

There are 36 possible outcomes which can be grouped into 11 events E represented by the totals of 2 to 12, each with probability P(E).
For example construct the probability distribution table:
E P(E)
2 1/36 (only one way to make a sum of 2)
3 2/36 (two ways to make a sum of 3)
4 3/36 (3 ways to make 4: 1+3,2+2,3+1)
...
12 1/36
The gain for each event is G(E)= 1 except for E=7 where the gain is G(7)=5.
The expected gain is ∑G(E)P(E) for all E.
Respond to this Question
Similar Questions

Math
Suppose you play a game in which two fair standard dice are rolled. If the numbers showing on the dice are different, you lose $2. If the numbers showing are the same, you win $2 plus the dollar value of the sum of dice. Complete the … 
statistics
A friend offers you the following game: You will roll 2 fair dice. If the sum of the two numbers obtained is 2,3,4,9,10,11,or 12 the friend will pay you $20. However, if the sum of the two numbers is 5, 6,7, or 8, you pay your friend … 
Math
Maria is playing a game of chance at the Hibiscus festival, costing $1 for each game. In the game two fair dice are rolled and the sum of the numbers that turn up is found. If the sum is seven, then Maria wins $5. Otherwise Maria loses … 
Math (Probability)
Bret and Shawn are playing a game where each turn the players roll a 20sided die fair and then add the number they get to their score. The winner is the player with the highest score at the end of the game (there may be a tie). Before … 
Probability
Bret and Shawn are playing a game where each turn the players roll a 20sided die fair and then add the number they get to their score. The winner is the player with the highest score at the end of the game (there may be a tie). Before … 
Statistics
In a game you roll two fair dice. If the sum of the two numbers obtained is 3,4,9,10 or 11 you win $20. If the sum is 5,6,7 or 8 you pay $20. However if the scores on the dice are the same no one is required to pay. (a) Construct a … 
Math
At this year's State Fair, there was a dice rolling game. If you rolled two dice and got a sum of 2 or 12, you won $20. If you rolled a 7,you won $5. Any other roll was a loss. It cost $3 to play one game with one roll of the dice. … 
Math
Leah and Sam were playing a game with two dice. They took turns rolling the dice and finding the products of the numbers rolled. To make the game fair, if Leah rolls a certain product she gets 2 points. If Sam rolls a certain product, … 
math
A game is defined by the rules that two dice are rolled and the player wins varying amounts depending on the sum of the two dice rolled based on the following table: Sum 2 3 4 5 6 7 8 9 10 11 12 Winnings … 
data management gr.12
A game is defined by the rules that the die is rolled and the player wins varying amounts depending on the number on the upper face according to the following table: sum 1 2 3 4 5 6 Winnings $10 $9 $8 $7 $6 $5 The cost to play the …