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Well known Mechanics, June 2015

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In this case, addition rule II can be used. Addition Rule II: If A and B are two events that are not mutually exclusive, then PðA or BÞ ¼ PðAÞ þ PðBÞ À PðA and BÞ, where A and B means the number of outcomes that event A and event B have in common. CHAPTER 3 The Addition Rules 48 EXAMPLE: A card is selected at random from a deck of 52 cards. Find the probability that it is a 6 or a diamond. SOLUTION: 4 Let A ¼ the event of getting a 6; then PðAÞ ¼ 52 since there are four 6s. Let B ¼ the event of getting a diamond; then PðBÞ ¼ 13 52 since there are 13 diamonds.

The first cards to be manufactured in the United States were made by Jazaniah Ford in the late 1700s. His company lasted over 50 years. The first book on gambling published in the United States was an edition of Hoyle’s Games, which was printed in 1796. CHAPTER 3 The Addition Rules Introduction In this chapter, the theory of probability is extended by using what are called the addition rules. Here one is interested in finding the probability of one event or another event occurring. In these situations, one must consider whether or not both events have common outcomes.

In these situations, one must consider whether or not both events have common outcomes. For example, if you are asked to find the probability that you will get three oranges or three cherries on a slot machine, you know that these two events cannot occur at the same time if the machine has only three windows. In another situation you may be asked to find the probability of getting an odd number or a number less than 500 on a daily three-digit lottery drawing. Here the events have common outcomes.

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