PART B: PROGRAMMING QUESTION $[73$ marks$]$

$[15$ marks$]$

Using the Coin class with the API shown below design and implement the driver class FlipRace which creates two Coin objects, then continually flips them both to see which coin comes up Heads three flips in a row. Continue flipping the coins until one coin wins the race and also consider the possibility that both coins achieve the objective in the same time $($that will be a tie$).$ Print the results of each turn and at the end print the winner and the total number of flips that were required.

Possible output:

flip $1$ Tails Tails

flip $2$ Tails Tails

flip $3$ Tails Tails

flip $4$ Tails Heads

flip $5$ Tails Heads

flip $6$ Heads Tails

flip $7$ Tails Heads

flip $8$ Heads Tails

flip $9$ Heads Heads

flip $10$ Tails Tails

flip $11$ Heads Heads

flip $12$ Heads Tails

flip $13$ Heads Tails

First coin is the winner after $13$ flips

The API for Coin class is:

public Coin $0$

$//$ default constructor

public void nlip$0$

$//$Flips the coin by randomly choosing a face value.

public boolean isHeads $\frac{0}{\frac{?}{?}}$ Returns true if the current face of the coin is heads

public String toString$0$

cannot be used to some preliminary isting $6\mathrm{.}1$ prints a