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:

being G the profit of each possible result.
If we bet $500, the possible outcomes are:
- <em>Winning</em>. 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:
- <em>Losing</em>. 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:

Then, we can calculate the expected value as:

We expect to win $463.7 for every $500 we bet on red, so we are losing in average $36.3 per $500 bet.
Answer:
71 degrees
Step-by-step explanation:
its an isosceles triangle so those angles are equal. Draw it out if that helps you.
Answer:
The answer is 80%.
Step-by-step explanation:
During a certain day, a worker made 81 parts.
He usually does 45 parts per day.
Number of extra parts made = 
The percent by which he increased the number of parts he usually makes can be given as =
= 80%
Therefore, on that day, the percent increased by 80%.