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
7.
vodka [1.7K]

Answer:

28 ft

Step-by-step explanation:

4 0
2 years ago
Compare the value of the underlined digit in 46395 and 14906
makvit [3.9K]
46395 is greater than (>) 14906
4 0
3 years ago
Is -13.1 + (-19) rational or irrational
ELEN [110]

Answer:

rational

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Valerie's work deriving the distance formula for length d is shown.
Umnica [9.8K]

Step-by-step explanation:

hope you can understand

7 0
1 year ago
Read 2 more answers
Find the area of the figure.( sides meet at right angles.)picture below
Tema [17]

You can divide the figure as follows:

  • A vertical rectangle, 5 meters tall and 2 meters wide, on the top right.
  • A horizontal rectangle, 2 meters tall and 5 meters wide, on the bottom left
  • A 2x2 meters square on the bottom right, where the two rectangles meet.

The area of the rectangles is 5x2=10 meters squared, while the area of the square is 2x2=4 meters squared.

So, the total area is 10+4=14 meters squared.

5 0
3 years ago
Other questions:
  • Use a quadratic equation to find two numbers whose sum is 5 and whose product is ­- 24.
    13·1 answer
  • |2n+5|&gt;/9 solve for n?
    10·2 answers
  • Find the sum of 914 and 878
    15·2 answers
  • The perimeter of a square is 32 cm find the side of the square.
    9·2 answers
  • August hosted two dinner parties for his friends. Twenty guests attended the first party, and twenty-eight guests attended the s
    14·1 answer
  • Four points question: Answer the following A- When selecting cards from a deck without replacing, the number of ways to draw the
    13·1 answer
  • Convert to slope intercept form (y=mx+b). 2x-4y=8
    14·2 answers
  • Y=9x is y a function of x
    9·1 answer
  • What is the answer for this
    13·1 answer
  • Caroline scored 8 more points than three times the number of points as Kamila. If Kamila scores 8 points in her next try, she wi
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!