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note cards 3.3-3.4

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
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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