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
liubo4ka [24]
3 years ago
15

You are given 3 to 1 odds against tossing three tails with three​ coins, meaning you win ​$3 if you succeed and you lose ​$1 if

you fail. Find the expected value​ (to you) of the game. Would you expect to win or lose money in 1​ game? In 100​ games? Explain. Find the expected value​ (to you) for the game.
Mathematics
1 answer:
valentina_108 [34]3 years ago
8 0

Step-by-step explanation:

  • To find the E(X) expected value, you come up with the different probabilities for each outcome
  • your set of outcomes after 3 tosses would be = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT} where H is heads and T is tails
  • Each element has a probability of 1/8 so let x represent number of tails
  • Probability(x)=P(x)\\P(0)=\frac{1}{8} \\P(1)=\frac{3}{8} \\P(2)=\frac{3}{8} \\P(3)=\frac{1}{8}
  • The E(x)=Summation (x times P(x))
  • E(X)=(0)(0.125)+(1)(0.375)+(2)(0.375)+(3)(0.125)=1.5
  • Now which probability is 1.5 tails? None, so it is either 2 tails or 1 tails
  • So you can expect to lose money in 1 game
  • But as you play more games the probability of getting 3 tails becomes more and more likely, so you can expect to win in a 100 games
You might be interested in
What expression represents the area of the triangle​
Setler79 [48]

Answer:

The first choice

Step-by-step explanation:

Area of a triangle is 1/2x base x height

the base is 10 and height is 24

26 is the hypotenuse but it is not used in calculating the area

Hope this helps :)

5 0
3 years ago
Read 2 more answers
Is this non-linear yes or no
Serjik [45]

It's linear and equation of the function is :

f ( x ) = 2x - 1

3 0
3 years ago
What is the rate of change of the linear relationship modeled in the table? (4 points) x y −2 5 −1 4 0 3 1 2 a −2 b −1 c negativ
Ostrovityanka [42]

Answer:

rate of change=slope= y2-y1/x2-x1

Step-by-step explanation:

x: -2|-1|0|1

y : 5|4|3|2

so choose 2 ordered pairs. in this case, we will choose (-2,5) and (-1,4)

now we plug them in: \frac{4-5}{-1-(-2)}

4-5=-1

-1-(-2)=1

so -1/1 is equal to -1, meaning it's answer option b.

4 0
3 years ago
Read 2 more answers
What is a ratio that compares two quantities measured in different units
Lisa [10]
A ratio that compares two quantities measured in different units is a conversion factor!
8 0
3 years ago
Help with two step equations with fractions.........<br> 2/3x=6
pashok25 [27]
Multiply 2/3 by the reciprocal, 3/2, on both sides.
3 0
3 years ago
Read 2 more answers
Other questions:
  • The product of 8 minus a number and seven equals 40 when decreased by 5
    11·1 answer
  • Given that the points (-1,6). (3,6), (3, 1), and (-1, 1) are vertices of a rectangle, how much shorter is the width than the len
    7·1 answer
  • Which numbers are rational? Select all
    6·1 answer
  • Is 8-6x+x^2 in standard form
    8·2 answers
  • 27 is what percent of 60?
    9·1 answer
  • Eva is at a sushi restaurant. She ordered 2 pieces of squid for a total of $3.50, 1 piece of
    12·1 answer
  • Please help the question is on the picture
    7·1 answer
  • Which of these sums is greater than 1?<br><br> A. 12+23<br> B. 13+18<br> C. 14+25<br> D. 15+110
    15·2 answers
  • Simplify 3 ∙ 2x. What is the coefficient? x 2 6 3
    14·1 answer
  • In the figure, r s.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!