Cody

# Problem 1159. Coin Tossing: Probability of Same Heads for N tosses

Solution 216974

Submitted on 14 Mar 2013 by Paul Berglund
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### Test Suite

Test Status Code Input and Output
1   Pass
%% assert(isequal(.5, round(1e6*coin_head_match(1))/1e6))

``` ```

2   Pass
%% assert(isequal(.375, round(1e6*coin_head_match(2))/1e6))

``` ```

3   Pass
%% assert(isequal(.3125, round(1e6*coin_head_match(3))/1e6))

``` ```

4   Pass
%% assert(isequal(.273438, round(1e6*coin_head_match(4))/1e6))

``` ```

5   Pass
%% assert(isequal(.246094, round(1e6*coin_head_match(5))/1e6))

``` ```

6   Pass
%% assert(isequal(.225586, round(1e6*coin_head_match(6))/1e6))

``` ```

7   Pass
%% assert(isequal(.139950, round(1e6*coin_head_match(16))/1e6))

``` ```

8   Pass
%% assert(isequal(.125371, round(1e6*coin_head_match(20))/1e6))

``` ```

9   Pass
%% assert(isequal(.114567, round(1e6*coin_head_match(24))/1e6))

``` ```

10   Pass
%% assert(~isequal(1,2))

``` ```

11   Pass
%% assert(isequal(.099347, round(1e6*coin_head_match(32))/1e6))

``` ```

12   Pass
%% assert(isequal(.070386, round(1e6*coin_head_match(64))/1e6))

```[Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] [Warning: Result may not be exact. Coefficient is greater than 9.007199e+15 and is only accurate to 15 digits] [> In nchoosek at 78 In coin_head_match>@(x)(nchoosek(n,x)/2^n)^2 at 2 In coin_head_match at 2 In verifyCode>evaluateCode at 227 In verifyCode at 40 In fevalJSON at 14] ```