A panel of 300 persons chosen for jury duty includes 30 under 25 years of age. Since the jury of 12 persons cho-sen from this panel to judge a narcotics violation does not include anyone under 25 years of age, the youthfuldefendant’s attorney complains that this jury is not reallyrepresentative. Indeed, he argues, if the selection wererandom, the probability of having one of the 12 jurors under 25 years of age should be many times the probabil-ity of having none of them under 25 years of age. Actually, what is the ratio of these two probabilities?
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.
sen from this panel to judge a narcotics violation does
defendant’s attorney complains that this jury is not really
representative. Indeed, he argues, if the selection were
random, the
ity of having none of them under 25 years of age. Actually,
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