A bag of 100 tulip bulbs purchased from a nursery contains 35 red tulip bulbs, 35 yellow tulip bulbs, and 30 purple tulip bulbs. (a) What is the probability that a randomly selected tulip bulb is red? (b) What is the probability that a randomly selected tulip bulb is purple? (c) Interpret these two probabilities. (a) The probability that a randomly selected tulip is red is [ (Type an integer or a decimal. Do not round.) (b) The probability that a randomly selected tulip bulb is purple is (Type an integer or a decimal. Do not round.) (c) Select the correct choice below and fill in the answer boxes within your choice. (Type whole numbers.) O A. If 100 tulip bulbs were sampled with replacement, one would expect exactly of the bulbs to be red and exactly of the bulbs to be purple. O B. If 100 tulip bulbs were sampled with replacement, one would expect about of the bulbs to be red and about of the bulbs to be purple.
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.
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