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
fiasKO [112]
3 years ago
6

Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards

without replacement from a standard deck. If both cards are diamonds, your friend will pay you $29. Otherwise, you have to pay your friend $4.Step 2 of 2 : If this same bet is made 891 times, how much would you expect to win or lose? Round your answer to two decimal places. Losses must be expressed as negative values.
Mathematics
1 answer:
Dmitrij [34]3 years ago
4 0

Answer:

Ok, the probability of winning is:

For the first draw, we have 13 diamonds in a 52 card deck, the probability of drawing a diamond is:

p1 = 13/52

for the second draw we have 12 diamonds and 51 cards in the deck, now the probability is:

p2 = 12/51

the total probability is equal to the product of the individual probabilities, this is:

P = p1*p2= (13/52)*(12/51) = 0.059

now, the expected value can be calculated as follows.

EV = (P1*X1 + P2*X2)

where P1 is the probabilty of event 1, and X1 is the event 1,

In this case X1 is the event of winning $29, then P1 = 0.059

X2 will be the event of loosing $4, so P2 = 1 - 0.059 = 0.941

Then the expected value for 1 round of the game is:

EV = (0.059*$29 - 0.941*$4) = -$2.05

So if you play 891 times, expected value of 891 times the expected value for 1 round, this is:

891*EV = 891*(-$2.05) = -$1826.55

So you loss around  $1826.55

You might be interested in
What value of x is in the solution set of 2x-3 > 11 - 5x?
Nata [24]

Answer:

x ≤ 3

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Simplify (x^2 y^3) (x^4 y^2)<br> a. X^6y^5<br> b. x^8y^6<br> c. 2x^8y^6<br> d. 2x^6y^5
Vaselesa [24]
The correct answer would be A) X^6 Y^5
8 0
3 years ago
Which of the following sets of numbers could be the side lengths of a right triangle?
Aneli [31]

Answer:

5, 12, 13

Step-by-step explanation:

Its a pythagorean triple

5 0
2 years ago
2.1(0.2x−1.4)=1.3(0.4x−3.5)<br> simplify <br> lots of points
Zina [86]

Answer:

you need a y to get at least 1 point

5 0
3 years ago
Pleaseeee helpppp !!!!!!!!! Will mark Brianliest !!!!!!!!!!!
Semenov [28]

Answer:

KL = 50

Step-by-step explanation:

∆JML is similar to ∆JNL. it follows that:

[tex] \frac{JM}{JN} = \frac{JL}{JK} [\tex]

JM = 4 + 20 = 24

JN = 4

JL = 10 + KL

JK = 10

Plug in the values

[tex] \frac{24}{4} = \frac{10 + KL}{10} [\tex]

[tex] 6 = \frac{10 + KL}{10} [\tex]

Multiply both sides by 10

[tex] 6*10 = \frac{10 + KL}{10}*10 [\tex]

[tex] 60 = 10 + KL [\tex]

Subtract 10 from each side

[tex] 60 - 10 = KL [\tex]

[tex] 50 = KL [\tex]

KL = 50

6 0
3 years ago
Other questions:
  • Which number is represented by point E on the graph?
    9·2 answers
  • Lexi ran 2/4 of a mile in 1/10 of an hour. At this rate, in how long does she run one mile?
    7·1 answer
  • An auditor at a utility company is going over customers' bills from June, ensuring that they were charged the right amount for t
    12·1 answer
  • What is the answer to the equation 4a+26-9a-17=26?
    15·1 answer
  • For problems 1 through 3, please include –
    6·1 answer
  • PLZ HELP ASAP!!!!! <img src="https://tex.z-dn.net/?f=" id="TexFormula1" title="" alt="" align="absmiddle" class="latex-formula">
    8·1 answer
  • How can I multiply the fraction 2/8 x 16 to get an answer greater than 16?
    13·1 answer
  • HELLLP MEEEEEEEEEEE plz
    5·2 answers
  • Amanda Gorman already has plans to run for President. The expression that gives the year in which she hopes to do this is given
    5·1 answer
  • 2x2=<br><br> what is the answer to this question.
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!