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
Leslie decides to join a gym. She must pay a monthly fee plus a one-time fee to open a membership. This situation can be modeled
liq [111]

Answer:

see below (I hope this helps!)

Step-by-step explanation:

The x seems to represent the number of months that Leslie has joined the gym for. When x = 0 (basically when she hasn't started using her membership), she pays 55(0) + 50 = $50 so we know that the 50 represents the one-time fee. The only thing missing is the monthly fee and since we haven't defined what the 55 means, we can conclude that the 55 represents the monthly fee. This makes sense because 55x is simply 55 times x, and since x is the number of months, 55 times that would be how much Leslie pays per month, otherwise known as the monthly fee.

8 0
3 years ago
Subtract. Express your answer in lowest terms.
natima [27]
6 3/11 good luck :)
7 0
3 years ago
Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?
vovangra [49]

Answer: x≤ -0.5

Step-by-step explanation:  Graph the two lines or solve for x:

2x – 6 ≥ 6(x – 2) + 8

2x – 6 ≥ 6x – 12 + 8

2x – 6 ≥ 6x – 4

-4x  ≥  2

  x  ≤  -1/2  [Inequality is reversed when multiplying or dividing by a negative number]

The number line is anything less than or equal to - 1/2

Or one can plot each side of the inequality and note the interception point (x = -(1/2)).

4 0
3 years ago
If two orders are​ selected, find the probability that they are both from Restaurant D. a. Assume that the selections are made w
Katena32 [7]

Answer:

The probability is

nothing.

8 0
3 years ago
Help !!!! rectangle pqrs has side lengths of 7 and 3 as shown on the grid below
Inessa05 [86]
Even though you have reflected this triangle, your side length would still be the same. Explanation: Reflection is when you take an object on your coordinate plain and put it somewhere else on the plain. So if side QR is 3 than side Q’R’ would also be 3. Hope this helps!
3 0
3 years ago
Read 2 more answers
Other questions:
  • Please help!
    12·1 answer
  • A box contains one each of $1, $5, $10, $20, and $100 bills. you reach in and withdraw one bill. what is the expected value?
    12·1 answer
  • 20) PLS HELP WITH QUESTION ASAP
    12·1 answer
  • Between which two square roots of integers would you find pi?
    5·1 answer
  • CD Express offers 4 CDs for $60. Music
    7·2 answers
  • How do I get the answer? I know it's right on the paper but I don't get pints if I don't show my work.
    8·2 answers
  • The sum of the digits of a given two digits the new numbers is 5 .if the digits are reversed, the new number is reduced by 27 .
    10·1 answer
  • three times the sum of a number x and 3 is 10 plus twice the difference of the number x and another number y
    11·1 answer
  • What is the value of this expression when a= 3 and b- -2? (3a^-2 b^6)/(2a^-1 b^5)^2
    14·1 answer
  • The circumference of a circle is 10 cm. What is the Radius of the circle​
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!