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note cards 3.3-3.4 - Section 3.3 Mutually Exclusive Events...

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Section 3.3 Mutually Exclusive Events Two events A and B are mutually exclusive if A and B cannot occur at the same time. If events cannot occur at same time they are mutually exclusive , if they can occur at the same time then they are not mutually exclusive. The Addition Rule for the Probability of A or B The probability that events A or B will occur, P (A or B), is given by P (A or B) = P (A) + P (B) – P (A and B) If events A and B are mutually exclusive, then the rule can be simplified to P (A or B) = P (A) + P (B). This simplified rule can be extended to any number of mutually exclusive events. Mutually exclusive
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Card is 4 or ace- P (4 or ace) = P (4) + P (ace) = 4/52 + 4/52 = 8/52= 2/13= 0.154 Not Mutually Exclusive Rolling a number less than 3 or rolling an odd number P (less than 3 or odd) = P(less than 3) + P (odd) – P (less than 3 and odd) = 2/3 + 3/6 – 1/6 = 4/6 = 2/3 = 0.667
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Types of Probability and Probability Rules In Words In Symbols Classical Probability The number of outcomes in the sample space is known and each outcome is equally likely to occur.
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