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

Correct

25Size

Leading solution size is 13.
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Test

Code Input and Output

1

Pass

%% n = 1; y_correct = 0.00; assert(abs(birthday_prob(n)-y_correct) <= 0.015)

2

Pass

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

3

Pass

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

4

Pass

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

[Warning: Result may not be exact. Coefficient is greater than 1.000000e+15 and is only accurate to 15 digits] [> In nchoosek at 64 In birthday_prob at 3 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14]

5

Pass

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

[Warning: Result may not be exact. Coefficient is greater than 1.000000e+15 and is only accurate to 15 digits] [> In nchoosek at 64 In birthday_prob at 3 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14]

6

Pass

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

[Warning: Result may not be exact. Coefficient is greater than 1.000000e+15 and is only accurate to 15 digits] [> In nchoosek at 64 In birthday_prob at 3 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14]

7

Pass

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

n = 10 [Warning: Result may not be exact. Coefficient is greater than 1.000000e+15 and is only accurate to 15 digits] [> In nchoosek at 64 In birthday_prob at 3 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14]

8

Pass

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

n = 13 [Warning: Result may not be exact. Coefficient is greater than 1.000000e+15 and is only accurate to 15 digits] [> In nchoosek at 64 In birthday_prob at 3 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14]

9

Pass

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