Let s Make a Deal in Java

Generation Quick Response Code in Java Let s Make a Deal
EXAMPLE 35
Read QR Code ISO/IEC18004 In Java
Using Barcode Control SDK for Java Control to generate, create, read, scan barcode image in Java applications.
Let s Make a Deal
Quick Response Code Maker In Java
Using Barcode maker for Java Control to generate, create QR-Code image in Java applications.
In this TV game show, a contestant is presented with three doors, one of which contains a valuable prize while the other two are empty The contestant is allowed to choose one door Regardless of the choice made, at least one, and perhaps two, of the remaining doors is empty The show host, say Monty Hall, opens one door and shows that it is empty He now offers the contestant the opportunity to change the choice of doors; should the contestant switch, or doesn t it matter It matters The contestant who switches has probability 2/3 of winning the prize If the contestant does not switch, the probability is 1/3 that the prize is won In thinking about the problem, note that when the empty door is revealed, the game does not suddenly become choosing one of the two doors that contains the prize The problem here is that sometimes Monty Hall has one choice of door to show empty and sometimes he has two choices of doors that are empty This must be accounted for in analyzing the problem
QR Code JIS X 0510 Decoder In Java
Using Barcode reader for Java Control to read, scan read, scan image in Java applications.
Bayes Theorem
Creating Bar Code In Java
Using Barcode encoder for Java Control to generate, create bar code image in Java applications.
An effective classroom strategy at this point is to try the experiment several times, perhaps using large cards that must be shuf ed thoroughly before each trial; some students can use the never switch strategy whereas others can use the always switch strategy and the results compared This experiment alone is enough to convince many people that the switching strategy is the superior one; we analyze the problem using geometry To be speci c, let us call the door that the contestant chooses as door 1 and the door that the host opens as door 2 The symmetry of the problem tells us that this is a proper analysis of the general situation Now we need some notation Let Pi , i = 1, 2, 3, denote the event prize is behind door i and let D be the event door 2 is opened We assume that P1 = P2 = P3 = 1/3 Then, P(D|P1 ) = 1/2, since in that case the host then has a choice of two doors to open; P(D|P2 ) = 0, since the host will not open the door showing the prize; and P(D|P3 ) = 1, since in this case door 2 is the only one that can be opened to show no prize behind it
Bar Code Scanner In Java
Using Barcode recognizer for Java Control to read, scan read, scan image in Java applications.
Our unit square is shown in Figure 37 It is clear that the shaded area in Figure 37 represents the probability that door 2 is opened The probability that the contestant wins if he switches is then the proportion of this area corresponding to door 3 This is 1 1 3 1 1 1 + 0+ 2 3 3 2 3
QR Code ISO/IEC18004 Drawer In C#.NET
Using Barcode encoder for Visual Studio .NET Control to generate, create QR Code JIS X 0510 image in .NET framework applications.
P(P3 |D) =
QR Code ISO/IEC18004 Creation In .NET Framework
Using Barcode drawer for ASP.NET Control to generate, create QR-Code image in ASP.NET applications.
Another, perhaps more intuitive, way to view the problem is this: when the rst choice is made, the contestant has probability 1/3 of winning the prize The probability that the prize is behind one of the other doors is 2/3 Revealing one of the doors to be empty does not alter these probabilities; hence, the contestant should switch
Generate QR In VS .NET
Using Barcode creation for VS .NET Control to generate, create QR Code image in Visual Studio .NET applications.
BAYES THEOREM
QR Code ISO/IEC18004 Drawer In VB.NET
Using Barcode maker for VS .NET Control to generate, create QR-Code image in Visual Studio .NET applications.
Bayes theorem is stated here although, as we have seen, problems involving it can be done geometrically
Generating UCC.EAN - 128 In Java
Using Barcode creation for Java Control to generate, create EAN128 image in Java applications.
3
UPC-A Supplement 2 Generation In Java
Using Barcode drawer for Java Control to generate, create GTIN - 12 image in Java applications.
Conditional Probability
Bar Code Creator In Java
Using Barcode creator for Java Control to generate, create bar code image in Java applications.
Bayes theorem: If S = A1 A2 An , where Ai and Aj have no sample points in common if i = j, then if B is an event, / P(Ai |B) = P(Ai |B) = or P(Ai |B) = P(Ai ) P(B|Ai )
Paint USS 93 In Java
Using Barcode printer for Java Control to generate, create Uniform Symbology Specification Code 93 image in Java applications.
n j=1
Painting Bar Code In .NET Framework
Using Barcode creation for ASP.NET Control to generate, create barcode image in ASP.NET applications.
P(Ai B) P(B) P(Ai ) P(B|Ai ) P(A1 ) P(B|A1 ) + P(A2 ) P(B|A2 ) + + P(An ) P(B|An )
UPC - 13 Encoder In .NET
Using Barcode creation for ASP.NET Control to generate, create GTIN - 13 image in ASP.NET applications.
P(Aj ) P(B|Aj )
UPC-A Supplement 5 Generator In C#
Using Barcode drawer for .NET framework Control to generate, create GTIN - 12 image in .NET framework applications.
In Example 35 (Let s Make a Deal), Ai is the event Prize is behind door i for i = 1, 2, 3 (We used Pi in Example 35) B was the event door 2 is opened
Make Code 128 Code Set C In Visual Basic .NET
Using Barcode maker for .NET Control to generate, create Code 128 Code Set B image in .NET framework applications.
Generate Barcode In .NET Framework
Using Barcode creator for ASP.NET Control to generate, create bar code image in ASP.NET applications.
Barcode Creator In C#
Using Barcode generation for VS .NET Control to generate, create bar code image in .NET applications.