Birthday “Paradox”
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1 Birthday “Paradox” There are N people in a room. What is the probability that two people have the same birthday?
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Birthday “Paradox”. There are N people in a room. What is the probability that two people have the same birthday?. Match Probabilities. Choose a number (0..9) Now pick a number at random, what is the probability of getting the chosen number?. Pick numbers at random (0..9) - PowerPoint PPT Presentation
Transcript of Birthday “Paradox”
1
Birthday “Paradox”
There are N people in a room.
What is the probability that two people have the same birthday?
2
Match Probabilities
Choose a number (0..9)
Now pick a number at random, what is the probability of getting the chosen number?
Try Fail Success
1 0.90 0.1
2 0.81 0.19
3 0.73 0.27
4 0.66 0.34
5 0.59 0.41
6 0.53 0.47
7 0.48 0.52
8 0.43 0.57
9 0.39 0.61
10 0.35 0.65
Pick numbers at random (0..9)
What is the probability that you get two numbers with same value?
Try Fail Success
2 0.9000 0.1000
3 0.7200 0.2800
4 0.5040 0.4960
5 0.3024 0.6976
6 0.1512 0.8488
7 0.0605 0.9395
8 0.0181 0.9819
9 0.0036 0.9964
10 0.0004 0.9996
11 0.0000 1.0000