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BigorU [14]
3 years ago
8

In the casino game of roulette, a gambler can bet on which of 38 numbers the ball will land when the roulette wheel is spun. On

a $2 bet, a gambler gains $70 (so a net profit of $68) if he or she chooses the winning number, but loses the $2 otherwise. The probability of choosing the winning number is 1/38 and the probability of not choosing the winning number is 37/38. Let X denote the net gain from a roulette spin. What is the expected winnings for one spin?
Mathematics
1 answer:
ollegr [7]3 years ago
4 0

Answer:

Expected winnings for one spin = 0.1

Step-by-step explanation:

Expected Value = Sum of [(Probability of X)(Value of X)]

E(X) = Σ [P(X).X]

Two Events : X = +68 , P(X) = 1/38 and X = -2 , P(X) = 37/38

E(X) = [(68) (1/38)] + [(-2)(37/38)]

[(68)(0.03)] + [(-2)(0.97)]

= 2.04 - 1.94

= 0.1

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PLEASE HELP! Math (recursive sequences)
stira [4]

Answer:

a₄ = 123

Step-by-step explanation:

a₁ = 1

a₂ = (1)² + 2

a₂ = 3

a₃ = (3)² + 2

a₃ = 11

a₄ = (11)² + 2

a₄ = 123

6 0
3 years ago
Jada Elena and Lin walked a total of 37 miles last week. jada walked 4 more miles that elena, and Lin walked 2 more miles than j
MA_775_DIABLO [31]

Answer:

Jada walked 13\ miles

Elena walked 9\ miles

Lin walked 15\ miles

Step-by-step explanation:

Let

x----> total miles walked by Jada

y----> total miles walked by Elena

z----> total miles walked by Lin

we know that

x+y+z=37 -----> equation A

x=y+4 -----> y=x-4 ------> equation B

z=x+2 ------> equation C

Substitute equation C and equation B in equation A and solve for x

x+(x-4)+(x+2)=37

3x=37+2

3x=39

x=13\ mi

Find the value of y

y=13-4=9\ mi

Find the value of z

z=13+2=15\ mi

therefore

Jada walked 13\ miles

Elena walked 9\ miles

Lin walked 15\ miles

3 0
3 years ago
What is the constant of variation, k, of the line y = kx through (3,18) and (5,30)?
Fudgin [204]
Y is 18 so 18=3k
k=18/3
k=6 for (3,18)
for (5,30)let's see
y=30
30=5k
k=30/5
k=6
5 0
3 years ago
Read 2 more answers
Can you help with this please
mojhsa [17]

Answer:

x = 81

Steps:

It says that y ~ √x

We have points (9, 18) as a guide.

We can write y = f(x) = a√x +b

Use points (9, 18) as a guide

18 = a√9 +b

18 = 3a + b

One solution might be a = 6, which means f(x) = 6√x

Thus when y = 54,

54 = 6√x

9 = √x

81 = x

6 0
2 years ago
Help please <br> i have little time
o-na [289]

Answer:

B

Step-by-step explanation:

4 0
3 years ago
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