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dmitriy555 [2]
3 years ago
14

Suppose someone gives you 8 to 2 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win ​

$ if you succeed and you lose ​$ if you fail. What is the expected value of this game to​ you? Should you expect to win or lose the expected value in the first​ game? What can you expect if you play ​times? Explain.
Mathematics
1 answer:
krek1111 [17]3 years ago
6 0

Complete question :

Suppose someone gives you 8 to 2 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win $8 if you succeed and you lose $2 if you fail. What is the expected value of this game to​ you? What can you expect if you play 100 times.

Answer:

$0.5 ; win $50 with 100 rolls

Step-by-step explanation:

From a roll of two fair dice; probability of obtaining an even number :

Even numbers = (2, 4, 6) = 3

P = 3 /6 = 1 /2

For 2 fair dice ; probability of rolling two even numbers : independent event.

1/2 * 1/2 = 1/4

Hence, p(success) = 1/4 ; P(failure) = 1 - 1/4 = 3/4

Probability table

Winning = $8 or loss = - $2

X : ____ 8 ______ - 2

P(x) __ 1/4 ______ 3/4

Expected value : E(x) = ΣX*P(x)

E(x) = (8 * 1/4) + (-2 * 3/4)

E(x) = 2 - 1.5

E(x) = $0.5

Since expected value is positive, the expect to win

If played 100 times;

Expected value = 100 * $0.5 = $50

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Answer:

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Step-by-step explanation:

8 0
3 years ago
Can someone help me with this ?!
vladimir1956 [14]

M is 3/2 because we need to Multiply to remove the variable from the denominator

8 0
3 years ago
P ( t x + g ) = q + u
juin [17]

The expression above is an example of a polynomial. See the explanation below for how it works.

<h3>What is a polynomial?</h3>

Polynomials are the sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer.

<h3>What is an example of how a polynomial works?</h3>

Let us use the following exercise.

Give an examples  polynomials p(x),g(x),q(x) and r(x), which satisfy the division algorithm and (i) deg p(x)=deg q(x)

<h3>What is the solution to the above?</h3>

(i) deg p(x) = deg q(x)

Recall the formula

Dividend = Divisor x quotient + Remainder

p(x)=g(x)×q(x)+r(x)

When the divisor is constant, the degree of quotient equals the degree of dividend.

Let us assume the division of 4x² by 2.

Here, p(x)=4x²

g(x)=2

q(x)= 2x²   and r(x)=0

Degree of p(x) and q(x) is the same i.e., 2.

Checking for division algorithm,

p(x)=g(x)×q(x)+r(x)

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Hence, the division algorithm is satisfied.

Learn more about Polynomial:
brainly.com/question/2833285
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4 0
2 years ago
The heights of women aged 20 – 29 in the United States are approximately Normal with mean 64.2 inches and standard deviation 2.8
Alenkinab [10]

Answer:

a) 0.64

b) -1.13      

Step-by-step explanation:

We are given the following information in the question:

Women:

Mean, μ = 64.2 inches

Standard Deviation, σ = 2.8 inches

We are given that the distribution of heights of women is a bell shaped distribution that is a normal distribution.

Men:

Mean, μ = 69.4 inches

Standard Deviation, σ = 3.0 inches

We are given that the distribution of heights of men is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

5.5 feet = 66 inches

a)  z‑score for a woman 5.5 feet tall

x = 66\\\\\Rightqrrow z = \displaystyle\frac{66 - 64.2}{2.8} = 0.64

b) z‑score for a man 5.5 feet tall

x = 66\\\\\Rightqrrow z = \displaystyle\frac{66 - 69.4}{3.0} = -1.13

4 0
3 years ago
Solve.
Allushta [10]

Answer:

The answer is:

The fourth option,

{s | s <90}

Step-by-step explanation:

yes

8 0
3 years ago
Read 2 more answers
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