1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Marianna [84]
3 years ago
15

A game is played with the following rules. Two ordinary number cubes, each with six sides labeled 1 to 6, are rolled. After each

roll a player is given a certain number of points depending on the outcome. If the sum is 2 or 12, the player receives +6 points If the sum is 3 or 11, the player receives +2 points. If the sum is any other number, the player receives –1 point. What is the expected value of the number of points a player will receive after a roll?
Mathematics
2 answers:
Harrizon [31]3 years ago
8 0

Answer:

-5/18

Step-by-step explanation:


Marysya12 [62]3 years ago
4 0
Answer: - 0.28


Explanation:

1) Expected value: is the weighted average of the values, being the probabilities the weight.

That is: ∑ of prbability of event i × value of event i.

In this case: (probability of getting 2 or 12) × (+6) + (probability of gettin 3 or 11) × (+2) + (probability of any other sum) × (-1).


2) Sample space:

Sum              Points awarded
    
1+ 1 = 2              +6

1 + 2 = 3             +2

1 + 3 = 4             -1

1 + 4 = 5             -1

1 + 5 = 6             -1

1 + 6 = 7             -1

2 + 1 = 3             +2

2 + 2 = 4             -1

2 + 3 = 5             -1

2 + 4 = 6             -1

2 + 5 = 7             -1

2 + 6 = 8             -1

3 + 1 = 4             -1

3 + 2 = 5             -1

3 + 3 = 6             -1

3 + 4 = 7             -1

3 + 5 = 8             -1

3 + 6 = 9             -1

4 + 1 = 5             -1

4 + 2 = 6             -1

4 + 3 = 7             -1

4 + 4 = 8            -1

4 + 5 = 9            -1

4 + 6 = 10          -1

5 + 1 = 6            -1

5 + 2 = 7            -1

5 + 3 = 8            -1

5 + 4 = 9            -1

5 + 5 = 10          -1

5 + 6 = 11          +2

6 + 1 = 7            -1

6 + 2 = 8            -1

6 + 3 = 9            -1

6 + 4 = 10          -1

6 + 5 = 11          +2

6 + 6 = 12          +6


2) Probabilities

From that, there is:
- 2/36 probabilities to earn + 6 points.
- 4/36 probabilites to earn + 2 points
- the rest, 30/36 probabilities to earn - 1 points


3) Expected value = (2/36)(+6) + (4/36) (+2) + (30/36) (-1) = - 0.28
You might be interested in
Evaluate each expression.<br> 1. 56/b for b=7<br> 2. v+16 for v=9<br> 3.2(4e) for e=5
Firdavs [7]
1. 8
2. 25
3.40
plug in the expressions

6 0
3 years ago
If two angles form a linear pair, then they are adjacent and __________.
77julia77 [94]
The answer is C. Supplementary.
6 0
3 years ago
Read 2 more answers
For Valentine's Day, Kelsey got a box of 24 chocolates. After one week, she'd eaten 5/8 of them. How many chocolates had Kelsey
Readme [11.4K]

Answer:

She had eaten 15 chocolates.

Step-by-step explanation:

\frac{5}{8} * 24 = \frac{120}{8} = 15

5 0
3 years ago
ANSWER ASAP Which of the following best describes the graph shown below?
Thepotemich [5.8K]

Answer:

C. This is the graph of a linear function.

Step-by-step explanation:

Linear function because it's not touching each other.

4 0
3 years ago
Read 2 more answers
Three years ago, Jolene bought $625 worth of stock in a software company. Since then the value of her
Lesechka [4]

Answer:

The stock is worth 765.65 today.

Step-by-step explanation:

$625*1.07^{3}=765.65

8 0
3 years ago
Other questions:
  • Justin's football team has a phone tree in case a game is cancelled. The coach calls 2 players. Then each of those players calls
    11·1 answer
  • Arm span is the physical measurement of the length of an individual's arms from fingertip to fingertip. A man’s arm span is appr
    11·1 answer
  • A player on the school baseball team reaches first base 3/10 of the time he is at-bat. Out of 80 times at bat, about how many ti
    13·1 answer
  • What is the missing term in this geometric table?
    5·1 answer
  • How many roots does the graphed polynomial function have?
    13·2 answers
  • What’s the most common Multiple for 3 and 5
    12·1 answer
  • An aircraft manufacturer wants to determine the best selling price for a new airplane. The company estimates that the initial co
    15·1 answer
  • I need the answer to this text please
    8·1 answer
  • Select all triangles whose side lengths prove they are right triangles. You must select all that apply.
    7·2 answers
  • Another math question for you guys
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!