MAT 221 Lecture Notes - Lecture 10: Sample Space, Pew Research Center

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Suppose the sample space (set of all outcomes) is represented by the rectangle s, and the events a and b are represented by the circle on the left and the one on the right respectively. Recall: when we say a or b , we mean a, b or both . Let a be the event of getting 1 , and let b be the event of getting an even number. Then, the probability of getting 1 or an even number is: p(a or b) = p(a) + p(b) = 1/6 + 3/6 = 4/6. For any two events a and b, the probability that a occurs, b occurs, or both events occur is: P(a or b) = p(a) + p(b) p(a and b) Sixty percent and 47% of americans now have an unfavorable view of the republican. Twenty-four percent of americans view both parties unfavorably (pew research center, aug 2015. )

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