Random process: Coin tossing

Hello,

Could anyone please help me to simulate the following?

Probability that first head appears on n-th toss.

Given the probability of getting Head after each toss is P, i.e., the coin is not a fair one so P is not equal to 1/2.

Any help will be highly appreciated.

Answer 1

[Image Analyst]

Try this

p = 0.5; % or whatever you want.
numTosses = 100; % Whatever
tossHist = zeros(1, numTosses);
for expt = 1 : 1000
    % Get sample of p% heads with numTosses
    heads = rand(1, numTosses) > p;
    tossOfFirstHead = find(heads, 1, 'first');
    tossHist(tossOfFirstHead) = tossHist(tossOfFirstHead) + 1;
end
bar(tossHist);
grid on;
xlim([1, find(tossHist>0, 1, 'last')]);

[Anik Adhikary]

Could you please explain the logic?