Addition rule

Addition rule - 0.5 + 0.5 = 1 (or certainty) Example 1 What...

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Addition rule Given mutually exclusive events, finding the probability of  at least one  of them occurring is  accomplished by adding their probabilities.  For example, what is the probability of one coin flip resulting in at least one head or at least one tail? The probability of one coin flip landing heads is 0.5, and the probability of one coin flip landing tails is  0.5. Are these two outcomes mutually exclusive in one coin flip? Yes, they are. You cannot have a  coin land both heads and tails in one coin flip; therefore, you can determine the probability of at least  one head or one tail resulting from one flip by adding the two probabilities: 
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Unformatted text preview: 0.5 + 0.5 = 1 (or certainty) Example 1 What is the probability of at least one spade or one club being randomly chosen in one draw from a deck of cards? The probability of drawing a spade in one draw is ; the probability of drawing a club in one draw is . These two outcomes are mutually exclusive in one draw because you cannot draw both a spade and a club in one draw; therefore, you can use the addition rule to determine the probability of drawing at least one spade or one club in one draw:...
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This note was uploaded on 11/15/2011 for the course QMST 2333 taught by Professor Mendez during the Fall '08 term at Texas State.

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