An experiment consists of flipping a coin and then flipping it a second time if a head occurs. If a...

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An experiment consists of flipping a coin and then flipping it a second time if a head occurs. If a tail occurs on the first flip, then a die is tossed once. To list the elements of the sample space providing the most information, we construct the tree diagram of Figure 2.1. The various paths along the branches of the tree give the distinct sample points. Starting with the top left branch and moving to the right along the first path, we get the sample point HH, indicating the possibility that heads occurs on two successive flips of the coin. Likewise, the sample point T3 indicates the possibility that the coin will show a tail followed by a 3 on the toss of the die. By proceeding along all paths, we see that the sample space is S = {HH, HT, T1, T2, T3, T4, T5, T6}. Many of the concepts in this chapter are best illustrated with examples involving the use of dice and cards. These are particularly important applications to use early in the learning process, to facilitate the flow of these new concepts into scientific and engineering examples such as the following. Sep 03 2014 08:57 AM

 

Solution ID:609268 | This paper was updated on 26-Nov-2015

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