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  1. 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.

  2. The Addition Law of Probability - General Case If two events are A and B then P(A∪B)=P(A)+P(B)−P(A∩B) Of course if A∩ B = ∅ i.e. A and B are mutually exclusive, then, P(A∩ B)=P(∅)=0and this general expression reduces to the simpler case. This rule can be extended to three or more events, for example:

  3. 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.

  4. 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.

  5. Learn The Addition Rule Of Probability And Adding Probabilities With Example Problems & Interactive Exercises. Experiment: A single 6-sided die is rolled. What is the probability of rolling a 2 or a 5? Possibilities: 1. The number rolled can be a 2. 2. The number rolled can be a 5.

  6. Examples: 1. The distribution of blood types in a certain population is: O (45%), A (40%), B (11%), and AB (4%). If one person is selected at random from this population, what is the probability that the person is blood type A or O?

  7. courses.utstat.utoronto.ca › STA220 › modulesProbability: Events

    Addition Rules. f two other events. Let's introduc. A = f event that it is raining tomorrow g. B = f event that it is cloudy tomorrow g. What is the probability that it is raining or cloudy tomorrow (P (A or B)) ? In probability or means that A can occur or B can occur or both can occur. Example.