Math 141 ch 7 part 2

Math 141 ch 7 part 2 - Uniform Sample Spaces and...

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Uniform Sample Spaces and Probabilities If E is any event of a uniform sample space, then It sometimes requires counting techniques to determine n ( E ) and n ( S ). ( ) Number of Outcomes in ( ) ( ) Number of Outcomes in n E E P E n S S = =
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Example : Assuming the probability of a boy being born is equal to that of a girl being born, find the probability that a family with four children (all born at different times) will have a) No boys? b) At least one boy? c) Exactly two boys?
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Example : A multiple choice exam has four questions, each with five possible answers. What is the probability of a monkey guessing exactly three questions correctly?
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Example : You have a jar with 5 green, 3 red, and 7 blue marbles. If you select four marbles at random from the jar, what is the probability that you select a) Exactly one red and three blue marbles? b) At least two green marbles?
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Example continued : c) All marbles of the same color? d) Exactly one red or exactly three blue marbles?
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Example : A group of six people is selected at random. What is the probability that at least two of them have the same birthday?
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Conditional Probability Idea : You have prior information regarding the occurrence of a particular event of an experiment. Hence, the probability of another event occurring might change, relative to this new information. The probability that event B occurs, given that event A has occurred is given by ( ) ( | ) , ( ) 0 ( ) P A B P B A P A P A ! = "
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Example : A poll was conducted among 150 students regarding smoking in public restaurants. The results of the poll are shown in the table: a) What is the probability that a randomly selected male opposes smoking? b)
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This note was uploaded on 03/26/2008 for the course MATH 141 taught by Professor Jillzarestky during the Spring '08 term at Texas A&M.

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Math 141 ch 7 part 2 - Uniform Sample Spaces and...

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