Answer:
Interest, interest.
Explanation:
Interest is the remuneration for the postponement of consumption, ie the remuneration for postponing consumption. When you lend money you charge a fee for the savings effort, which is interest. Thus, if you borrow money you will receive the interest. Similarly, by putting money in the bank as savings, you will be lending to the bank, so it will pay you back with interest.
b. Strong population growth decreased the need for slaves in the middle colonies.
c. The agricultural industry was stronger in the middle colonies than in New England.
d. Disease killed more people in the middle colonies because of its cooler climate, resulting in a labor shortage.
Answer:
EV = $-0.125
For one game, the outcome cannot be predicted, even though you are more likely to lose money.
For 100 games, you are expected to lose about $12.50
Explanation:
Expected value is the sum of the product of all possible outcomes by their payouts. In this case, there are only 2 possible outcomes. You either win by tossing 3 three heads with three coins or lose.
The probability of winning (P(w)) is:
Therefore, the probability of losing (P(l)) is:
The expected value (EV) for the game is:
For one game, the outcome cannot be predicted, even though you are more likely to lose money than win. As for 100 games, since the expected value is negative, you are expected to lose money (about $12.50).
The expected value of the game, where you win $6 if you get three heads on three coin tosses and lose $1 otherwise, is -$0.62. This indicates that you will lose, on average, about 62 cents per game, making it an unwise game to play if the aim is to win money.
The subject of this question is the expected value concept in mathematics, specifically in probability theory. To calculate the expected value of the game, you need to multiply the probability of winning by the amount won and subtract the product of the losing probability and the amount lost. In this case, you are given 6 to 1 odds against tossing three heads with three coins, meaning you win $6 if you succeed and you lose $1 if you fail.
The possible outcomes when tossing three coins are: 3 heads, 2 heads-1 tail, 1 head-2 tails, or 3 tails. Each of these outcomes has an equal probability of 1/8 or 0.125 because there are 8 possible outcomes. The only way to win the game is to get 3 heads, so the probability of winning is 0.125 and the probability of losing is 1 - 0.125 = 0.875.
To calculate the expected value, multiply the probability and the respective payoff (gain or loss). Therefore it is: Expected Value = (0.125) * ($6) - (0.875) * ($1) = -$0.62. This means that on average, you'll lose about 62 cents per game, so it would not be a good idea to play this game if the goal is to make money.
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