$2$ Write a Java program given the following specification and

provide comments which explain how your algorithm works.

Problem Statement

If you flip a single coin, you have a $50\%$ chance of getting a

single tail. If you flip two coins, you now have a $75\%$ of seeing at

least $1$ tail. What is the chance you will see at least $T$ tails after

$N$ coin tosses? Use a Monte Carlo simulation and round to the

nearest percent.

Input Format

The first line is an integer $N,$ the number of coin tosses. The

second line in is an integer $T,$ the target number of tails.

Output Format

An integer from $0$ to $100$ representing the percentage probability

that at least $T$ tails will be observed given $N$ tosses of a fair coin.

Constraints

$0N1000$

$0T1000$

Sample Input

$4$

$1$

Sample Output

$94$

$($if you flip $4$ coins, the probability of seeing at least $1$ tail is

$93\mathrm{.}75\%)$