Math Problem Statement
classify each pair of events as mutually exclusive or - non-mutually exclusive. a.) event a: randomly drawing a grey sock from a drawer, event b: randomly drawing a wool sock from a drawer. b.) event a: randomly selecting a student with brown eyes, event b: randomly selecting a student on the honour roll. c.) event a: having an even number of students in your class, event b: having an odd number of students in your class. d.) event a: rolling a six with a die, event b: rolling a prime number with a die. e.) event a: your birthday faolling on a saturday next year, event b: your birthday falling on a weekend next year. f.) event a: getting an A on the next test, event b: passing the next test. g.) event a: calm weather at noon tomorrow, event b: stormy weather at noon tomorrow. h.) event a: sunny weather next week, event b: rainy weather next week.
Solution
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Math Problem Analysis
Mathematical Concepts
Probability
Mutually Exclusive Events
Non-Mutually Exclusive Events
Formulas
P(A ∩ B) = 0 for mutually exclusive events
P(A ∪ B) = P(A) + P(B) for mutually exclusive events
Theorems
Addition Rule of Probability
Definition of Mutually Exclusive Events
Suitable Grade Level
Grades 9-12
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