Lecture12[1] - Lecture 12 Conditional Probability Section...

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Conditional Probability Section 4.4 1 STAT 225, Dallas Bateman, Spring 2010 Lecture 12
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Conditional Probability The probability that an event occurs under the condition that another event occurred. This is denoted: P(A|B) This is said: “The probability of A given B” 2 STAT 225, Dallas Bateman, Spring 2010
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Conditional Probability P(A|B) Want to find Already know happened Given 3 STAT 225, Dallas Bateman, Spring 2010
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Conditional Probability Rule: ( ) ( | ) ( ) P A B P A B P B 4 STAT 225, Dallas Bateman, Spring 2010
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Conditional Probability STAT 225, Dallas Bateman, Spring 2010 5 Possible ways to toss two fair dice:
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Conditional Probability Example: Roll 2 fair 6-sided dice. P(sum 7|first die is a 4) = P(2 nd die is a 3) = 1/6 OR P(sum = 7 1st die = 4) P(1st die = 4 2nd die = 3) 1/ 36 1/ 6 P(1st die = 4) P(1st die = 4) 1/ 6 6 STAT 225, Dallas Bateman, Spring 2010
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