A 'hundred-year flood' is a weather event which is supposed to happen with a probability of 0.01 or less. What is the probability that the area next to Skunk Creek and US-30 in Ames sees two such floods in 20 years? Suppose that the floods are independent repetitions, happening 2 times out of 20 with probability 0.01 for each single repetition. Give the answer as decimal fraction (not in percent), rounded to three digits after the decimal point. You can use your calculator or the online Binomial Probability Calculator.
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.
A 'hundred-year flood' is a weather
Suppose that the floods are independent repetitions, happening 2 times out of 20 with probability 0.01 for each single repetition.
Give the answer as decimal fraction (not in percent), rounded to three digits after the decimal point.
You can use your calculator or the online Binomial Probability Calculator.
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