ProbSetOne - Rensselaer Electrical, Computer, and Systems...

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Rensselaer Electrical, Computer, and Systems Engineering Department ECSE 4500 Probability for Engineering Applications PS#1 Solutions February 12, 2010 1. (1.4) The experiment involves f ipping a fair coin 3 times. The outcome of each coin toss is either a head or a tail. Therefore, the sample space of the combined experiment that contains all the possible outcomes of the 3 tosses, is given by = { HHH,HHT,HTH,HTT,THH,THT,TTH,TTT } . Since all the coins are fair, all the outcomes of the experiment are equally likely. The proba- bility of each singleton event, i.e. an event with a single outcome, is then 1 8 . We are interested in F nding the probability of the event A , which is the event of obtaining 2 heads and 1 tail. There are 3 favorable outcomes for this event given by A = { HHT,HTH,THH } . Therefore, P [ A ]= P [ { HHT } { HTH } { THH } ]= P [ HHT ]+ P [ HTH ]+ P [ THH ]= 3 8 .N o t eth
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This note was uploaded on 04/15/2010 for the course ECSE 4500 taught by Professor Woods during the Spring '08 term at Rensselaer Polytechnic Institute.

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ProbSetOne - Rensselaer Electrical, Computer, and Systems...

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