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Addition and Multiplication Laws of Probability 35.3. Introduction. When we require the probability of two events occurring simultaneously or the probability of one or the other or both of two events occurring then we need probability laws to carry out the calculations.
1 Ιουλ 2020 · The multiplication rule and the addition rule are used for computing the probability of \(\text{A}\) and \(\text{B}\), as well as the probability of \(\text{A}\) or \(\text{B}\) for two given events \(\text{A}\), \(\text{B}\) defined on the sample space.
The Addition Rule for Mutually Exclusive Events. If two events are mutually exclusive, then we can use addition to find the probability that one or the other event occurs.
PROBABILITY: A probability is a number between 0 and 1, inclusive, that states the long-run relative frequency, likelihood, or chance that an outcome will happen. EVENT: An outcome (called a simple event) or a combination of outcomes (called a compound event)
Addition rule: fathers, sons and college. Data from a sample of 80 families in a midwestern city gives record of college attendance by fathers (F) and their oldest sons (S).
Find the probability of compound events using the addition rules. Many problems involve finding the probability of two or more events. For example, at a large political gathering, one might wish to know, for a person selected at random, the probability that the person is a female or is a Republican.
Section 4.2: The Addition Rule and Rule of Complements 1 The Addition Rule Theorem 1 If A and B are disjoint (mutually exclusive) events then P(A or B) = P(A)+P(B). Example 1 Pick a single card from a deck. What is the probability that you select an Ace or an 8? These are disjoint events. There are four of each rank in a deck of cards. Thus,
