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.