Cody

Problem 1267. Calculate the probability that at least two people in a group share the same birthday.

Solution 203527

Submitted on 13 Feb 2013 by James
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Test Suite

Test Status Code Input and Output
1   Pass
%% n = 1; y_correct = 0.00; assert(abs(birthday_prob(n)-y_correct) <= 0.015)

ans = 0

2   Pass
%% n = 366; y_correct = 1.00; assert(abs(birthday_prob(n)-y_correct) <= 0.015)

ans = 1

3   Pass
%% n = 0; y_correct = 0.00; assert(abs(birthday_prob(n)-y_correct) <= 0.015)

ans = 0

4   Pass
%% n = 23; y_correct = 0.5073; assert(abs(birthday_prob(n)-y_correct) <= 0.015)

ans = 0.507200000000000

5   Pass
%% n = 50; y_correct = 0.9704; assert(abs(birthday_prob(n)-y_correct) <= 0.015)

ans = 0.970300000000000

6   Pass
%% n = 100; y_correct = 1.0000; assert(abs(birthday_prob(n)-y_correct) <= 0.015)

ans = 0.999900000000000

7   Pass
%% n = 10 y_correct = 0.1169; assert(abs(birthday_prob(n)-y_correct) <= 0.015)

n = 10 ans = 0.116900000000000

8   Pass
%% n = 13 y_correct = 0.1944; assert(abs(birthday_prob(n)-y_correct) <= 0.015)

n = 13 ans = 0.194400000000000

9   Pass
%% n = 2; y_correct = 1/365; assert(abs(birthday_prob(n)-y_correct) <= 0.015)

ans = 0.002700000000000