Four a plus 2 c plus c =
2 answers:
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The slope-intercept equation is y=mx+b.
The slope formula is
Our three points are (5,5), (-5,-7) and (0,-1)
Using our slope formula our slope becomes
Then, if we use one of our points (pick whichever you want, although (0,1) is the easiest) to solve the equation. So, . When we solve for x and y, we get -1=0+b, or b=-1.
When we plug that back into the equation, we get.
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.