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
agasfer [191]
3 years ago
13

If you draw a card with a value of four or less from a standard deck of cards I will pay you $43 if not you pay me $10. Step 1.

Find the expected value of the proposition and round the answer to two decimal places. Losses must be expressed as negative values. Step 2. If you play this game 755 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:
Vera_Pavlovna [14]3 years ago
6 0

The expected value of the game is its average earnings

  • The expected value of a round is $2.23
  • The expected value when the game is played 755 times is $1683.65

<h3>How to determine the expected value of a round</h3>

There are 12 cards with a value of 4 or less.

So, the probability of selecting a card with a value of 4 or less is:

P(x \le 4) = \frac{12}{52}

The probability of selecting a card with a value more than 4 is the complement of the above probability.

So, we have:

P(x > 4) = 1 - \frac{12}{52}

P(x > 4) =  \frac{40}{52}

The expected value is then calculated as:

E(x) = \frac{12}{52} * 43 - \frac{40}{52} * 10

Evaluate

E(x) = \frac{12* 43 - 40 * 10}{52}

E(x) = \frac{116}{52}

Simplify

E(x) = 2.23

Hence, the expected value of a round is $2.23

<h3>The expected value when the game is played 755 times</h3>

In (a), we have:

E(x) = 2.23

In probability, we have:

E(nx) = n * E(x)

So, we have:

E(755x) = 755 * 2.23

E(755x) = 1683.65

Hence, the expected value when the game is played 755 times is $1683.65

Read more about expected values at:

brainly.com/question/15858152

You might be interested in
How do you separate the number 40 into three parts so that the second number is twice the first number and the third number is t
vampirchik [111]

Hey there mate ;)

<h3><u>Answer:- ( 10 </u><u> </u><u> </u><u> 20</u><u> </u><u> </u><u> 10)</u></h3>

Explanation:-

As per question, we can solve by splitting 40 into :-

10 \:  \:  \: \:  20 \:  \: \:  \:  10

Proof:

● As its told that the second number must be twice the first number , which means 20 should be the double of 10 (Proved)

● Next it is told that the third number must be the same as first number, which means that 10 must be equal to 10, which is true.

So, the answer is <u>(10 20 10)</u>

6 0
3 years ago
PLEASE HELP... Flight 4358 took off from the DFW airport at an elevation of 48°. If the airplane has been traveling for 1200 ft.
Nana76 [90]

Answer:

I took the test and it's 891 ft. :)

4 0
3 years ago
These cones are similar. Find the volume of the smaller cone. Round to the nearest tenth. 2 cm 5 cm Volume=[?]cm^ 3 Volume me =
Neko [114]

Answer:

8.4 cm^3 to the nearest tenth.

Step-by-step explanation:

The ratio of the volumes of the 2 cones is the ratio of the cubes of their radii.

So:

5^3 / 2^3 = 131 / v

v = 2^3 * 131 / 5^3

= 8 * 131 / 125

= 8.384.

6 0
3 years ago
My brain small so could you plz anwser his 6/11+ 2/ 3
Lena [83]

Answer:

1 7/33

Step-by-step explanation:

6/11 + 2/3 --> We need a common denominator

--> 11 x 3 = 33

33 is our common denominator

6 x 3 = 18

2 x 11 = 22

18/33 + 22/33 = 40/33

Convert to a mixed number

=> 1 7/33

Thus, we have our answer.

4 0
3 years ago
A circle has a diameter of 12 cm. Which of these is closest to its circumference?*
tino4ka555 [31]

Answer:D 19 cm

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is the slope of the x-axis, the line where y=0? <br>​
    6·1 answer
  • Which of the following tables represents a function?
    8·1 answer
  • What is the zero of g?
    10·1 answer
  • PLEASE HELP URGENTLY! I DONT UNDERSTAND ANYTHING! PLEASE EXPLAIN YOUR ANSWER!
    14·1 answer
  • Company F sells fabrics known as fat quarters, which are rectangles of fabric created by cutting a yard of fabric into four piec
    13·1 answer
  • Which equation is exponential?
    8·1 answer
  • Can someone explain how to do this please?
    14·1 answer
  • What 50 precent of 7
    8·1 answer
  • Below are two parallel lines intersecting them
    11·1 answer
  • Given the following information, find the length of the missing side. Leave your answer as a simplified radical.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!