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
masha68 [24]
2 years ago
14

Three fair coins are tossed. If all land "heads," the player wins $10, and if exactly two land heads, the player wins $5. If it

costs $4 to play, what is the player's expected outcome after four games?
Mathematics
1 answer:
hodyreva [135]2 years ago
8 0

Answer:

<u>After four games, a player can lose up to $ 16 to win up to $ 26. These are the probabilities for every game:</u>

<u>1/8 or 12.5% of landing three "heads"</u>

<u>3/8 or 37.5% of landing two "heads"</u>

<u>4/8 or 50% of landing no or only one "head".</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

If three coins land "heads" the player wins $ 10

If two coins land "heads" the player wins $ 5

Cost of playing = $ 4

2.  What is the player's expected outcome after four games?

Probability of two coins out of three lands "heads" = 3/8

Probability of three coins out of three lands "heads" = 1/8

Now, let's calculate the player's expected outcome, as follows:

Four games:

Cost = 4 * 4 = $ 16

Worst-case scenario: No wins

Best-case scenario: 4 out of 4 of $ 10 win

Worst-case scenario profit or loss = 0 - 16 = Loss of $ 16

Best-case scenario profit or loss = 40 - 16 = Profit of $ 24

After four games, a player can lose up to $ 16 to win up to $ 26. These are the probabilities for every game:

1/8 or 12.5% of landing three "heads"

3/8 or 37.5% of landing two "heads"

4/8 or 50% of landing no or only one "head".

You might be interested in
Use the proportion to convert millimeters to centimeters. 10mm/1cm=47mm/x
miskamm [114]
- The centimeter is defined as a unit of lenght. Its symbol is: "cm".

 - 1 centimeter=10 milimeters.

 - The milimeter is defined as a unit of lenght and its symbol is "mm".

 1. If you want to convert 47 milimeters to centimeters by using proportions, you have:

 10 mm/1 cm=47mm/x

 2. Then, you only have to clear the "x":

 (10 mm)x=(47mm)(1 cm)
 x=(47 mm)(1 cm)/10 mm

 3. Therefore, the result is:

 x=4.7 centimeters
3 0
2 years ago
3. A beach has a rectangular swimming area for toddlers. One side of the swimming
Alex777 [14]

Answer:

useee

Step-by-step explanation:k

ur headdd eheheh

8 0
2 years ago
Using the distributive property of multiplication for 12:(8+7) we get
gizmo_the_mogwai [7]
Answer: 180

Step-by-step Explanation:
The first thing you need to do is know what order to go in, for example ‘pemdas’. (Parentheses, exponents, multiplication, division, additions, and subtraction.)
The first step is going to be the parenthesis so, 8 + 7 = 15. The second step is going to be to distribute, which is multiplication so,
12 x 15 = 180. The last step is to make sure you went through ‘pemdas’ all of the way.
5 0
2 years ago
Mei has a large triangular stone that she wants to divide into four smaller triangular stepping stones in a pathway. Explain why
11111nata11111 [884]

Answer : Explained.


Step-by-step explanation: As given in the question and shown in the attached figure, ΔABC be the large triangular stone that Mei wants to divide into four smaller triangular stepping stones in a pathway.

Let D, E and F be the mid-points of the sides BC, CA and AB respectively. Then, DE, EF and FD are the mid-segments of ΔABC.

Then  , we have

4 × Area of ΔDEF = 4 ×Area of ΔFBD = 4 × ΔAFE = 4 × Area of ΔECD = Area of ΔABC.

Thus, we have

ΔDEF ≅ ΔFBD ≅ ΔAFE ≅ ΔECD.

Thus, in this way, cutting along mid-segments creates four congruent stepping stones.

3 0
3 years ago
Drew wants to wallpaper his bedroom. The room is 10 ft long, 12 ft wide, and 8 ft tall. How many square feet of wallpaper does h
olganol [36]

Answer:

you have four walls. two of them 12*8 and the other two are 10*8 ( we used 8 in both because it's the height of the room). so it goes( 2*12*8)+(2*10*8) and it goes 352S

Step-by-step explanation:

let's say that walls A 12*8 and walls B 10*8. you have 4 walls ta wallpaper.

for walls A= 2*12*8=192

for walls B=2*10*12=160

in total, you need 160+192= 352 square feet of wallpaper

7 0
3 years ago
Other questions:
  • Exponential function f(x) has a y intercept of 3 and an x intercept of -2. the function is always increasing as the value of x i
    14·1 answer
  • A 22m ladder and a 20m ladder were leaned against a building. The bottom of the longer ladder was 4m farther from the building t
    5·1 answer
  • Three dressers are placed side by side. One dresser is 6 feet 7 inches wide, another is 2 feet 10 inches wide, and the third is
    12·1 answer
  • Kyle is saving money to buy a bicycle.He has 45.50 in his savings account and saves account and saves 15% of his paper route ear
    5·2 answers
  • Please Help me With this 30 points and brainliest to first person
    11·2 answers
  • LA Galaxy have won 4/5 of their soccer matches. What percentage have they lost?
    9·2 answers
  • Use mental math to find us some draw or describe the strategy you used 52+19 = 71
    6·1 answer
  • Find the product<br> -5. 12 =
    7·1 answer
  • Identify the value of a if<br> y= ax+ 7x + 2<br> and the point (2, 12) is on the graph.
    9·1 answer
  • Help me please please please
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!