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Section 7.1 – Day 2
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Mutually Exclusive Events
Two events A and B are mutually exclusive if A and B cannot happen at the same time. Event A: Roll a 3 on a die. Event B: Roll a 4 on a die. Mutually Exclusive Event B: Roll an odd number on a die. Not Mutually Exclusive
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Mutually Exclusive Events
Event A – Randomly select a blood donor with type O blood. Event B – Randomly select a female blood donor. Not Mutually Exclusive Event A – Randomly select a Ford truck. Event B – Randomly select a Chevy truck. Mutually Exclusive
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The Addition Rule 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, the rule can be simplified to P(A or B) = P(A) + P(B).
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The Addition Rule You select a card from a standard deck (52). Find the probability of selecting a 4 or an ace: P (4 or ace) = P(4) + P(ace) = 4/52 + 4/52 = 8/52 ~0.152 You roll a die. Find the probability of 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) =2/6 + 3/6 – 1/6 = 4/6 ~ 0.67
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Group Work White Book: Page …#9-14,
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