Question 1: Suppose we have classified 161 individuals according to two criteria: gender and age(below or above 40). A convenient way to present the results is to use a table. Select one person at random from a group with distribution represented in the table below. male female under 40 54 47 over 40 28 32 a) Find the probability that person's age under 40. b) Find the probability that person is female. c) Find the conditional probability of person has age under 40 given that person is male. d) Find the conditional probability of person is female given that person has age under 40.
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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