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
Marat540 [252]
2 years ago
9

In European roulette, the wheel is divided into 37 compartments numbered 1 through 36 and 0. (In American roulette there are 38

compartments numbered 1 through 36, 0, and 00.) One-half of the numbers 1 through 36 are red, the other half are black, and the number 0 is green. Find the expected value of the winnings on a $8 bet placed on red in European roulette. (Round your answer to three decimal places.)
Mathematics
1 answer:
adelina 88 [10]2 years ago
3 0

Answer:

The expectation is -$0.216.

Step-by-step explanation:

Consider the provided information.

In European roulette, the wheel is divided into 37 compartments numbered 1 through 36 and 0.

One-half of the numbers 1 through 36 are red, the other half are black, and the number 0 is green.

We need to find the expected value of the winnings on a $8 bet placed on red in European roulette.

Here the half of 36 is 18.

That means 18 compartments are red and 18 are black.

The probability of getting red in European roulette is 18/37

The probability of not getting red in European roulette is 19/37. Because 18 are black and 1 is green.

If the ball lands on a red number, the player wins the amount of his bet.

The favorable outcomes are 18/37 and unfavorable are 19/37.

Let S be possible numerical outcomes of an experiment and P(S) be the probability.

The expectation can be calculated as:

E(x) = sum of S × P(S)

ForS_1 = 8

P(S_1) = \frac{18}{37}

For S_2 = -8(negative sign represents the loss)

P(S_2) = \frac{19}{37}

Now, use the above formula.

E(x) = 8\times \frac{18}{37}-8\times \frac{19}{37}\\E(x) =-0.216

Hence, the expectation is -$0.216.

You might be interested in
Chuck bought 19 movie tickets for $174.50.
kap26 [50]

Answer:

45

Step-by-step explanation:

5 0
3 years ago
Which are the side lengths of a right triangle? Check all that apply. 3, 14, and StartRoot 205 EndRoot 6, 11, and StartRoot 158
Irina-Kira [14]

It A, C, and E on edge 2020

4 0
3 years ago
Read 2 more answers
Given the function f(x) = 4^x - 1, explain and show how to find the average rate of change between x = 1 and x = 4.
soldier1979 [14.2K]

Answer:

84

Step-by-step explanation:

f(1)=4^1 - 1 = 3

f(4) = 4^4 - 1 = 255

rate of change = \frac{f(x_2)-f(x_1)}{x_2-x_1}

(255 - 3) / (4 - 1) = 252 / 3 = 84

3 0
2 years ago
How many g in 45 kg?
tigry1 [53]
45000 grams
Hope this helps. Have a amazing day and stay safe <3
5 0
3 years ago
Divide 3 divided by 2/5 <br><br> 7<br><br> 7 1/5<br><br> 7 1/2<br><br> 8
Ksju [112]
Uhhh 0.3 or 1.2 lol hope this helps
5 0
2 years ago
Read 2 more answers
Other questions:
  • -0.71x + 0.41x = 6.3<br> _x = 6.3
    8·1 answer
  • I NEED HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    14·1 answer
  • Select the correct answer
    7·1 answer
  • Daniel stocks the shelves of his fathers toy store at night.On the top shrlf,he puts only boxed dolls and stuffed animals. The r
    12·1 answer
  • Which of the following numbers does not have
    14·1 answer
  • Solve this ecuetion what is 3-5+9x29=
    11·1 answer
  • 24 ounces of juice for $2.25 or 40<br> ounces of juice for $3.79
    8·1 answer
  • Answer!?______________
    13·2 answers
  • What are the coefficients in the problem: 392 + 4x - 5y + x
    14·1 answer
  • Geometric mean of 25 and 35
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!