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
What is 0.5, three sixteenths, 0.75, and five and forty eighths in order from least to greatest
butalik [34]
I'm just estimating here, 
5/48,3/16,0.5,0.75
8 0
3 years ago
Which fact is related to 12 = 3 = 4?<br> I need help
Svetach [21]

Answer:

factors

Step-by-step explanation:

3 0
3 years ago
Solve for e.<br> I need help I have to hurry and turn this in!!
yarga [219]

1st option.

T9=e^2

e=sq root of T9

9 can be sq rooted to 3

hence e=3×sqroot of T

7 0
2 years ago
Wo numbers are in the ratio of 2 to 3. If the smaller number is 18, the larger number is
Zarrin [17]
The simplified ratio is 2:3. Since the smaller number when it's not simplified is 18, let's divide 18 by 2 to get our factor.
18/2 = 9.
So we can multiply 9 by 3 to get the missing larger number.
9 x 3 = 27.
Your missing number is 27, hope this helps! 
5 0
3 years ago
Rectangle 1 has length 10 and width 20. Rectangle 2 is made by multiplying each dimension of Rectangle 1 by a factor of k=3
Gwar [14]

Answer:

30cm, 60cm

Step-by-step explanation:

Given data

Dimensions of the first rectangle

Length =10cm

Width =20cm

We are told that the dimensions of the second rectangle is gotten by multiplying the first rectangle by 3

Hence the dimensions of the second rectangle is

Length =10*3= 30cm

Width = 20*3= 60cm

5 0
2 years ago
Other questions:
  • Solve for X. <br><br> -10 <br><br> 10 <br><br> 180 <br><br> 125
    8·1 answer
  • Write a simplified polynomial expression in standard form to represent the area of the rectangle below.
    5·2 answers
  • Which of those is an example of numerical data ? A. Average speed b. Type of pet C. Favorite car d.home state
    13·1 answer
  • I’ll give brainliest to whoever helps me answer this question correctly.
    12·2 answers
  • Please help! Triangle ABC is similar to triangle DEF. m
    5·1 answer
  • The radius of a circle is 2 millimeters. What is the circle's area?
    9·1 answer
  • From the set {7, 15, 18), which of the values can be substituted for c to make the
    8·1 answer
  • ∠A=5x+34
    14·2 answers
  • Please help me with this math problem!! NO LINKS PLEASE!! DUE TONIGHT AT 11:59PM!! THANKS!! :)
    14·1 answer
  • 3(x-2) <br> I don’t know how to do this
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!