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]
2 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]2 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
If g(x) = 2x^2 - 4x, what is the value of g(- 2)?
svlad2 [7]

Answer:

Hi! The correct answer is -8 - 4x!

Step-by-step explanation:

Simplify each term

6 0
2 years ago
The function f(x) = –x2 – 4x + 5 is shown on the graph. Which statement about the function is true? The domain of the function i
Viefleur [7K]

we have

f(x) = -x^{2} - 4x + 5

using a graph tool

see the attached figure

the domain of the function is all real numbers------> the interval is (-∞,∞)

the range of the function is --------------------------------> the interval (-∞,9]

therefore

the answer is

The range of the function is all real numbers less than or equal to 9

7 0
3 years ago
Read 2 more answers
What is the probability of an event that is certain?
bearhunter [10]

Answer:

Nvm my answer is wrong

5 0
3 years ago
Read 2 more answers
What is 3x+(4x-6)=8x+1
Natasha2012 [34]

Answer:

X= -7

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Cuantas unidades mide al lado de pqrs
Kobotan [32]

to ketha ay ayu  uhh uh la toca bella

8 0
3 years ago
Read 2 more answers
Other questions:
  • A teacher surveys 30 students on the number of books they read over the summer. The data
    14·1 answer
  • For his long distance phone service, Tony pays an $8 monthly fee plus 6 cents per minute. Last month, Tony's long distance bill
    10·1 answer
  • Evaluate 3a2 + 4b2 for a = 2 and b = 3
    6·1 answer
  • Write in word form and expanded form: 23,876.901
    12·1 answer
  • In a city the record monthly high temperature for March is 56°F. The record monthly low temperature for March is -4°F. What is t
    6·1 answer
  • A toy manufacturer makes lightweight balls for indoor play. The large basketball uses 4 ounces of foam and 20 minutes of labor a
    14·1 answer
  • F(x) x2+5x-4<br>rewrite each equation in vertex form
    6·2 answers
  • Need a little help help here..
    9·2 answers
  • Look at the area model below. Write the amount<br> as an improper fraction and a mixed number.
    14·1 answer
  • If you make a circle and one part is 100 the other part is 120 what is the other part​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!