expected number of trials to get n consecutive heads

Calculating the Expected Number of Trials to Get N Consecutive Heads in C++

To calculate the expected number of trials to get n consecutive heads in C++, you can use the concept of geometric distribution. The expected number of trials can be calculated using the formula E = 2^n, where E is the expected number of trials and n is the number of consecutive heads.

Here's a C++ code example to calculate the expected number of trials:

#include <iostream>
#include <cmath>

int main() {
    int n; // number of consecutive heads
    std::cout << "Enter the number of consecutive heads: ";
    std::cin >> n;

    double expected_trials = std::pow(2, n);
    std::cout << "Expected number of trials to get " << n << " consecutive heads: " << expected_trials << std::endl;

    return 0;
}

In this code, we use the std::pow function from the <cmath> library to calculate 2 raised to the power of n, where n is the number of consecutive heads. This gives us the expected number of trials to get n consecutive heads.

By using the geometric distribution and the formula E = 2^n, we can determine the expected number of trials required to obtain a specific number of consecutive heads in a sequence of coin flips.