Created
January 27, 2020 23:00
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Simulate the Birthday Problem
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| # Ref: https://en.wikipedia.org/wiki/Birthday_problem | |
| # Ref: https://www.scientificamerican.com/article/bring-science-home-probability-birthday-paradox/ | |
| library(magrittr) | |
| library(dplyr) | |
| people <- 23 | |
| simulations <- 1e5 | |
| expand.grid(id = 1:people, | |
| sim = 1:simulations) %>% | |
| mutate(bday = sample(365, simulations * people, replace = TRUE)) %>% | |
| group_by(sim) %>% | |
| summarize(anyDupes = anyDuplicated(bday) > 1) %>% | |
| group_by(anyDupes) %>% | |
| summarize(freq = n()) %>% | |
| mutate(pct = freq / sum(freq)) |
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