STAT 100A Lecture Notes - Lecture 5: Sample Space, White Chocolate

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15 Apr 2016
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For two events a and b in sample space , where p(b) > 0, the conditional probability, i. e. the probability that a will occur after b has already occurred is de ned as. Consider the following events: a: the result is even, b: the result is higher than 3. What is the probability of getting heads" on both ips, given that the rst ip results in heads". Let b be the event that the rst ip results in heads". What is the probability of getting heads" on both ips, given that at least one ip results in heads". Let a be the event of getting two heads". Let b be the event that at least one ip results in heads". =(cid:4)(h, h), (h, t ), (t, h), (t, t )(cid:5) B =(cid:4)(h, t ), (t, h), (h, h)(cid:5) P(a1 an) = Find the probability that each stack has exactly one ace.

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