Cody

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

Solution 273887

Submitted on 5 Jul 2013 by Dan
• Size: 13
• This is the leading solution.
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### Test Suite

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

ans = Columns 1 through 10 0.5000 0.3750 0.3125 0.2734 0.2461 0.2256 0 0 0 0 Columns 11 through 20 0 0 0 0 0 0.1399 0 0 0 0.1254 Columns 21 through 30 0 0 0 0.1146 0 0 0 0 0 0 Columns 31 through 40 0 0.0993 0 0 0 0 0 0 0 0 Columns 41 through 50 0 0 0 0 0 0 0 0 0 0 Columns 51 through 60 0 0 0 0 0 0 0 0 0 0 Columns 61 through 64 0 0 0 0.0704 ans = 0.5000

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

ans = Columns 1 through 10 0.5000 0.3750 0.3125 0.2734 0.2461 0.2256 0 0 0 0 Columns 11 through 20 0 0 0 0 0 0.1399 0 0 0 0.1254 Columns 21 through 30 0 0 0 0.1146 0 0 0 0 0 0 Columns 31 through 40 0 0.0993 0 0 0 0 0 0 0 0 Columns 41 through 50 0 0 0 0 0 0 0 0 0 0 Columns 51 through 60 0 0 0 0 0 0 0 0 0 0 Columns 61 through 64 0 0 0 0.0704 ans = 0.3750

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

ans = Columns 1 through 10 0.5000 0.3750 0.3125 0.2734 0.2461 0.2256 0 0 0 0 Columns 11 through 20 0 0 0 0 0 0.1399 0 0 0 0.1254 Columns 21 through 30 0 0 0 0.1146 0 0 0 0 0 0 Columns 31 through 40 0 0.0993 0 0 0 0 0 0 0 0 Columns 41 through 50 0 0 0 0 0 0 0 0 0 0 Columns 51 through 60 0 0 0 0 0 0 0 0 0 0 Columns 61 through 64 0 0 0 0.0704 ans = 0.3125

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

ans = Columns 1 through 10 0.5000 0.3750 0.3125 0.2734 0.2461 0.2256 0 0 0 0 Columns 11 through 20 0 0 0 0 0 0.1399 0 0 0 0.1254 Columns 21 through 30 0 0 0 0.1146 0 0 0 0 0 0 Columns 31 through 40 0 0.0993 0 0 0 0 0 0 0 0 Columns 41 through 50 0 0 0 0 0 0 0 0 0 0 Columns 51 through 60 0 0 0 0 0 0 0 0 0 0 Columns 61 through 64 0 0 0 0.0704 ans = 0.2734

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

ans = Columns 1 through 10 0.5000 0.3750 0.3125 0.2734 0.2461 0.2256 0 0 0 0 Columns 11 through 20 0 0 0 0 0 0.1399 0 0 0 0.1254 Columns 21 through 30 0 0 0 0.1146 0 0 0 0 0 0 Columns 31 through 40 0 0.0993 0 0 0 0 0 0 0 0 Columns 41 through 50 0 0 0 0 0 0 0 0 0 0 Columns 51 through 60 0 0 0 0 0 0 0 0 0 0 Columns 61 through 64 0 0 0 0.0704 ans = 0.2461

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

ans = Columns 1 through 10 0.5000 0.3750 0.3125 0.2734 0.2461 0.2256 0 0 0 0 Columns 11 through 20 0 0 0 0 0 0.1399 0 0 0 0.1254 Columns 21 through 30 0 0 0 0.1146 0 0 0 0 0 0 Columns 31 through 40 0 0.0993 0 0 0 0 0 0 0 0 Columns 41 through 50 0 0 0 0 0 0 0 0 0 0 Columns 51 through 60 0 0 0 0 0 0 0 0 0 0 Columns 61 through 64 0 0 0 0.0704 ans = 0.2256

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

ans = Columns 1 through 10 0.5000 0.3750 0.3125 0.2734 0.2461 0.2256 0 0 0 0 Columns 11 through 20 0 0 0 0 0 0.1399 0 0 0 0.1254 Columns 21 through 30 0 0 0 0.1146 0 0 0 0 0 0 Columns 31 through 40 0 0.0993 0 0 0 0 0 0 0 0 Columns 41 through 50 0 0 0 0 0 0 0 0 0 0 Columns 51 through 60 0 0 0 0 0 0 0 0 0 0 Columns 61 through 64 0 0 0 0.0704 ans = 0.1399

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

ans = Columns 1 through 10 0.5000 0.3750 0.3125 0.2734 0.2461 0.2256 0 0 0 0 Columns 11 through 20 0 0 0 0 0 0.1399 0 0 0 0.1254 Columns 21 through 30 0 0 0 0.1146 0 0 0 0 0 0 Columns 31 through 40 0 0.0993 0 0 0 0 0 0 0 0 Columns 41 through 50 0 0 0 0 0 0 0 0 0 0 Columns 51 through 60 0 0 0 0 0 0 0 0 0 0 Columns 61 through 64 0 0 0 0.0704 ans = 0.1254

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

ans = Columns 1 through 10 0.5000 0.3750 0.3125 0.2734 0.2461 0.2256 0 0 0 0 Columns 11 through 20 0 0 0 0 0 0.1399 0 0 0 0.1254 Columns 21 through 30 0 0 0 0.1146 0 0 0 0 0 0 Columns 31 through 40 0 0.0993 0 0 0 0 0 0 0 0 Columns 41 through 50 0 0 0 0 0 0 0 0 0 0 Columns 51 through 60 0 0 0 0 0 0 0 0 0 0 Columns 61 through 64 0 0 0 0.0704 ans = 0.1146

10   Pass
%% assert(~isequal(1,2))

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

ans = Columns 1 through 10 0.5000 0.3750 0.3125 0.2734 0.2461 0.2256 0 0 0 0 Columns 11 through 20 0 0 0 0 0 0.1399 0 0 0 0.1254 Columns 21 through 30 0 0 0 0.1146 0 0 0 0 0 0 Columns 31 through 40 0 0.0993 0 0 0 0 0 0 0 0 Columns 41 through 50 0 0 0 0 0 0 0 0 0 0 Columns 51 through 60 0 0 0 0 0 0 0 0 0 0 Columns 61 through 64 0 0 0 0.0704 ans = 0.0993

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

ans = Columns 1 through 10 0.5000 0.3750 0.3125 0.2734 0.2461 0.2256 0 0 0 0 Columns 11 through 20 0 0 0 0 0 0.1399 0 0 0 0.1254 Columns 21 through 30 0 0 0 0.1146 0 0 0 0 0 0 Columns 31 through 40 0 0.0993 0 0 0 0 0 0 0 0 Columns 41 through 50 0 0 0 0 0 0 0 0 0 0 Columns 51 through 60 0 0 0 0 0 0 0 0 0 0 Columns 61 through 64 0 0 0 0.0704 ans = 0.0704

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