Suppose that the probability of a hurricane striking a state in any single year is 1 in 10 and that this probability has been the same for the past 1000 years. Which of the following is implied by the law of large numbers? A) The state has been hit by close to (but not necessarily exactly) 100 hurricanes in the past 1000 years because as the years increase, the closer the proportion of hurricanes should be to 0.1. B) If no hurricanes have hit the state in the past 10 years, then the probability of a hurricane hitting next year is greater than 0.1 because the state is due for a hurricane. C) The state has been hit by close to (but not necessarily exactly) 100 hurricanes in the past 1000 years because as the years increase, the proportion of hurricanes that hit the state should decrease. D)The state has been hit by exactly 100 hurricanes in the past 1000 years because 100 is how many times the state was expected to be hit by hurricanes. E) If no hurricanes have hit the state in the past 10 years, then the probability of a hurricane hitting next year is greater than 0.1 because every year without a hurricane increases the next year's probability.
Compound Probability
Compound probability can be defined as the probability of the two events which are independent. It can be defined as the multiplication of the probability of two events that are not dependent.
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Probability theory is a branch of mathematics that deals with the subject of probability. Although there are many different concepts of probability, probability theory expresses the definition mathematically through a series of axioms. Usually, these axioms express probability in terms of a probability space, which assigns a measure with values ranging from 0 to 1 to a set of outcomes known as the sample space. An event is a subset of these outcomes that is described.
Conditional Probability
By definition, the term probability is expressed as a part of mathematics where the chance of an event that may either occur or not is evaluated and expressed in numerical terms. The range of the value within which probability can be expressed is between 0 and 1. The higher the chance of an event occurring, the closer is its value to be 1. If the probability of an event is 1, it means that the event will happen under all considered circumstances. Similarly, if the probability is exactly 0, then no matter the situation, the event will never occur.
Suppose that the probability of a hurricane striking a state in any single year is 1 in 10 and that this probability has been the same for the past 1000 years. Which of the following is implied by the law of large numbers?
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