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
azamat
3 years ago
13

Derek and Mia place two green marbles and one yellow marble in a bag. Somebody picks a marble out of the bag without looking and

records its color (G for green and Y for yellow). They replace the marble and then pick another marble. If the two marbles picked have the same color, Derek loses 1 point and Mia gains 1 point. If they are different colors, Mia loses 1 point and Derek gains 1 point. What is the expected value of the points for Derek and Mia?
Ask for details Follow Report by Paynedaisa 08/04/2017
Mathematics
1 answer:
Ahat [919]3 years ago
5 0

Step-by-step explanation:

With each draw, the probability of selecting a green marble is 2/3 and the probability of selecting a yellow marble is 1/3.

To pick two of the the same color, they can either pick green twice or yellow twice.  

P = (2/3)(2/3) + (1/3)(1/3)

P = 5/9

To pick two different colors, they can either pick green first then yellow, or yellow first then green.

P = (2/3)(1/3) + (1/3)(2/3)

P = 4/9

Expected value for Derek is:

D = (5/9)(-1) + (4/9)(1)

D = -1/9

The expected value for Mia is:

M = (5/9)(1) + (4/9)(-1)

M = 1/9

You might be interested in
Please help! I'll give Brainliest! 20 points!
trapecia [35]

Answer:

  78

Step-by-step explanation:

The mean is the sum of the 5 numbers, divided by 5:

  µ = (9 + 18 + 27 + 30 + x)/5 = (84 +x)/5 = 16.8 +x/5

The median of a 5-number set will be the middle number. Depending on the value of x, the mean/median may be 18, x, or 27, so we have three possible equations for x.

  16.8 +x/5 = 18

  x/5 = 1.2 . . . . . subtract 16.8

  x = 6 . . . . . . . . multiply by 5

___

  16.8 +x/5 = x

  16.8 = 4/5x . . . . subtract x/5

  21 = x . . . . . . . . . multiply by 5/4

___

  16.8 +x/5 = 27

  x/5 = 10.2 . . . . . . subtract 16.8

  x = 51 . . . . . . . . . . multiply by 5

___

The sum of the possible values of x is ...

  sum = 6 + 21 + 51 = 78

3 0
3 years ago
A football team plays in a large stadium. With a ticket price of $15, the average attendance at recent games has been 20,000. A
aleksley [76]

Answer:

R(x) = (20,000 - 400x)(15+x)

Step-by-step explanation:

Given,

The original price of each ticket = $ 15,

Original number of people or attendance = 20,000

Let the price of each ticket is increased by x times of $ 1,

That is, new price of each ticket = ( 15 + x ) dollars,

∵ for each $1 increase in the ticket price, attendance decreases by 400 people,

So, the new number of people = 20,000 - 400x

Since,

Revenue = number of people × price of each ticket

⇒ R(x) = (20,000 - 400x)(15+x)

Which is the required function.

4 0
3 years ago
Please anyone help!!
Marianna [84]

Answer:

4

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
When solving the equation, which is the best first step to begin to simplify the equation?
olasank [31]

Answer:

hope that helps!

Step-by-step explanation:

3 0
3 years ago
How many solutions does the equation 5x + 3x − 4 = 10 have? (4 points) Zero One Two Infinitely many​
Fittoniya [83]

It has one solution :)

7 0
2 years ago
Other questions:
  • Ruby read 0.85. Of a book what fraction of the book does ruby have left to read? Write in simplest fom
    5·1 answer
  • Ve.
    7·1 answer
  • SOMEONE PLEASE JUST ANSWER THIS FOR BRAINLIEST!!!
    8·1 answer
  • Solve: 0.5a+2.54=0.8a+4.94.
    15·2 answers
  • Which one of these is the identity for addition?<br> 1<br> -1<br> 0
    9·2 answers
  • What are the side lengths of an equilateral triangle with a perimeter of 8 1/4?
    13·1 answer
  • SOMEONE PLZ HELP ME I AM SOOOO STUCK!!!
    7·2 answers
  • Please help i will give brainliest
    13·1 answer
  • Find the missing values in the ratio table. Then write the equivalent ratios.
    10·1 answer
  • IDK- PLS HELP ME plss
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!