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A standard roulette wheel has 38 numbered slots for a small ball to land in: 36 are marked from 1 to 36, with half of those blac

Anastasy [175]

Answer:

The expected value of betting $500 on red is $463.7.

Step-by-step explanation:

There is not a fair game. This can be demostrated by the expected value of betting a sum of money on red, for example.

The expected value is calculated as:

$E(G)=\sum p_iG_i$

being G the profit of each possible result.

If we bet $500, the possible outcomes are:

- Winning. We get G_w=$1,000. This happens when the roulette's ball falls in a red place. The probability of this can be calculated dividing the red slots (half of 36) by the total slots (38) of the roulette:

$P(R)=R/T=18/38\approx0.4737$

- Losing. We get G_l=$0. This happens when the ball does not fall in a red place. The probability of this is the complementary of winning, so we have:

$P(not \,R)=1-P(R)=1-18/38=20/38\approx 0.5263$

Then, we can calculate the expected value as:

$E(G)=\sum p_iG_i=p_wG_w+p_lG_l=0.4637*1,000+0.5263*0=463.7$

We expect to win $463.7 for every $500 we bet on red, so we are losing in average $36.3 per $500 bet.

4 0

3 years ago

What is the slope of the line perpendicular to the segment with endpoints (2,0) and (-6,3)?

r-ruslan [8.4K]

Answer:

A line that passes (2, 0) and (-6, 3) has slope:

S1 = (-6 -2)/(3 - 0) = -4/3

Another line that is perpendicular with above line has slope:

S2 = -1/S1 = -1/(-4/3) = 3/4

=> Option B is correct

Hope this helps

:)

3 0

3 years ago

What is 1 + 1 + 2 - 7 + 4? Take your answer and make it x. X + 4 - 2 + X. What is the final answer?

ikadub [295]

Answer:

(b)

Step-by-step explanation:

1. In a group of cows and chickens, the number of legs was 14 more than twice the number of heads. The number of cows was:

(a) 5, (b) 7, (c) 10, (d) 12, (e) 14

Solution:

Let the number of cows be x and their legs be 4x.

Let the number of chicken be y and their legs be 2x.

Total number of legs = 4x + 2y.

Total number of heads = x + y.

The number of legs was 14 more than twice the number of heads.

Therefore, 2 × (x + y) + 14 = 4x + 2y.

or, 2x + 2y + 14 = 4x + 2y.

or, 2x + 14 = 4x [subtracting 2y from both sides].

or, 14 = 4x – 2x [subtracting 2x from both sides].

or, 14 = 2x.

or, x = 7 [dividing by 2 on both sides].

Therefore, the number of cows = 7.

4 0

3 years ago

Read 2 more answers

Find the formula Plug in values Volume

Dmitriy789 [7]

Answer:

See explanations below

Step-by-step explanation:

Volume of the sphere is expressed as;

V = 4/3πr³

r is the radius

V = 4/3 * 3.14 * 3³

V = 4/3 * 3.14 * 27

V = 4 * 3.14 * 9

V = 113.04cube units

For the secind sphere;

diameter = 12

radius = 12/2 = 6

V = 4/3πr³

r is the radius

V = 4/3 * 3.14 * 6³

V = 4/3 * 3.14 * 216

V = 4 * 3.14 * 72

V = 904.32cube units

5 0

3 years ago

Is 6/12 greater than 8/12

Sav [38]

$\frac{6}{12}$ is less than $\frac{8}{12}$ . This is because 6/12 and 8/12 already have the same denominators, so we don't need to change em. Now lets look at the numerators:-

6 & 8

Now we will compare these

6 is less than 8

So, 6/12 is less than 8/12.

Hope i helped ya!!

3 0

3 years ago

Read 2 more answers