3.3 Finding Probability Using Sets Mutually Exclusive Events.

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Presentation transcript:

3.3 Finding Probability Using Sets Mutually Exclusive Events

Considering events that occur at the same time Mutually exclusive events are events that cannot both occur at the same time E.g. You cannot both pass a test and fail the same test at the same time You can’t roll a die and get a 4 and an odd number at the same time Sets of mutually exclusive events are disjoint A  B =  n(A  B) = 0

Mutually exclusive or not? First EventSecond Event Randomly selecting a classical CD Randomly selecting a rock CD Your next birthday occurring on a Wednesday Your next birthday occurring on a weekend Rolling a perfect square with a die Rolling an even number with a die Sunny weather next weekRainy weather next week

Mutually exclusive or not? First EventSecond Event Randomly drawing a grey sock from a drawer Randomly drawing a wool sock from a drawer Having an even number of students in class Having an odd number of students in class Rolling a six with a dieRolling a prime number with a die Your birthday falling on a Saturday next year Your birthday falling on a weekend next year

Mutually exclusive or not? First EventSecond Event Getting an A on the next test Passing the next test Calm weather at noon tomorrow Stormy weather at noon tomorrow Ordering a hamburger with cheese Ordering a hamburger with onions Randomly selecting a student with two brown eyes Randomly selecting a student with two blue eyes