Welcome to the dice game Pig.
The game is played between two players.
Players alternate taking turns.

During a turn a player rolls a six sided die.
If the result of the roll is a 1 the player's score
for the turn is 0 and it is the next player's turn.
If the result of the die is not a 1 the result is added
to the player's score for the turn.

After the first roll of a turn a player must decide to
HOLD or ROLL AGAIN. If a player HOLDs their score
for the turn is added to their total score.
if a player ROLLs AGAIN they roll the die again.

The same rules apply to the second and subsequent
rolls in the turn: a 1 reduces the player's
score for the turn to 0 and the turn is over.
If the die is not 1 the result is added to the
player's score for the turn and they must decide
to HOLD or ROLL AGAIN.

The first player to reach a total of 100 wins the game.

This program simulates the results of different
strategies for the game.

RUNNING SAMPLE GAMES WITH OUTPUT
***** START OF GAME *****

START OF TURN NUMBER 1
It is player 1's turn.
player 1 rolled a 4 on roll number 1

Number of rolls this turn: 1
Score for turn so far: 4
If you HOLD now scores will be: 
player 1: 4
player 2: 0

DECISION - ROLL AGAIN

player 1 rolled a 2 on roll number 2

Number of rolls this turn: 2
Score for turn so far: 6
If you HOLD now scores will be: 
player 1: 6
player 2: 0

DECISION - ROLL AGAIN

player 1 rolled a 6 on roll number 3

Number of rolls this turn: 3
Score for turn so far: 12
If you HOLD now scores will be: 
player 1: 12
player 2: 0

DECISION - ROLL AGAIN

player 1 rolled a 6 on roll number 4

Number of rolls this turn: 4
Score for turn so far: 18
If you HOLD now scores will be: 
player 1: 18
player 2: 0

DECISION - HOLD - TURN IS OVER

START OF TURN NUMBER 2
It is player 2's turn.
player 2 rolled a 3 on roll number 1

Number of rolls this turn: 1
Score for turn so far: 3
If you HOLD now scores will be: 
player 1: 18
player 2: 3

DECISION - ROLL AGAIN

player 2 rolled a 4 on roll number 2

Number of rolls this turn: 2
Score for turn so far: 7
If you HOLD now scores will be: 
player 1: 18
player 2: 7

DECISION - ROLL AGAIN

player 2 rolled a 6 on roll number 3

Number of rolls this turn: 3
Score for turn so far: 13
If you HOLD now scores will be: 
player 1: 18
player 2: 13

DECISION - ROLL AGAIN

player 2 rolled a 5 on roll number 4

Number of rolls this turn: 4
Score for turn so far: 18
If you HOLD now scores will be: 
player 1: 18
player 2: 18

DECISION - ROLL AGAIN

player 2 rolled a 6 on roll number 5

Number of rolls this turn: 5
Score for turn so far: 24
If you HOLD now scores will be: 
player 1: 18
player 2: 24

DECISION - HOLD - TURN IS OVER

START OF TURN NUMBER 3
It is player 1's turn.
player 1 rolled a 1 on roll number 1

PIG! Score for turn is 0. TURN IS OVER

START OF TURN NUMBER 4
It is player 2's turn.
player 2 rolled a 5 on roll number 1

Number of rolls this turn: 1
Score for turn so far: 5
If you HOLD now scores will be: 
player 1: 18
player 2: 29

DECISION - ROLL AGAIN

player 2 rolled a 1 on roll number 2

PIG! Score for turn is 0. TURN IS OVER

START OF TURN NUMBER 5
It is player 1's turn.
player 1 rolled a 4 on roll number 1

Number of rolls this turn: 1
Score for turn so far: 4
If you HOLD now scores will be: 
player 1: 22
player 2: 24

DECISION - ROLL AGAIN

player 1 rolled a 3 on roll number 2

Number of rolls this turn: 2
Score for turn so far: 7
If you HOLD now scores will be: 
player 1: 25
player 2: 24

DECISION - ROLL AGAIN

player 1 rolled a 2 on roll number 3

Number of rolls this turn: 3
Score for turn so far: 9
If you HOLD now scores will be: 
player 1: 27
player 2: 24

DECISION - ROLL AGAIN

player 1 rolled a 6 on roll number 4

Number of rolls this turn: 4
Score for turn so far: 15
If you HOLD now scores will be: 
player 1: 33
player 2: 24

DECISION - HOLD - TURN IS OVER

START OF TURN NUMBER 6
It is player 2's turn.
player 2 rolled a 3 on roll number 1

Number of rolls this turn: 1
Score for turn so far: 3
If you HOLD now scores will be: 
player 1: 33
player 2: 27

DECISION - ROLL AGAIN

player 2 rolled a 5 on roll number 2

Number of rolls this turn: 2
Score for turn so far: 8
If you HOLD now scores will be: 
player 1: 33
player 2: 32

DECISION - ROLL AGAIN

player 2 rolled a 5 on roll number 3

Number of rolls this turn: 3
Score for turn so far: 13
If you HOLD now scores will be: 
player 1: 33
player 2: 37

DECISION - ROLL AGAIN

player 2 rolled a 1 on roll number 4

PIG! Score for turn is 0. TURN IS OVER

START OF TURN NUMBER 7
It is player 1's turn.
player 1 rolled a 6 on roll number 1

Number of rolls this turn: 1
Score for turn so far: 6
If you HOLD now scores will be: 
player 1: 39
player 2: 24

DECISION - ROLL AGAIN

player 1 rolled a 1 on roll number 2

PIG! Score for turn is 0. TURN IS OVER

START OF TURN NUMBER 8
It is player 2's turn.
player 2 rolled a 1 on roll number 1

PIG! Score for turn is 0. TURN IS OVER

START OF TURN NUMBER 9
It is player 1's turn.
player 1 rolled a 4 on roll number 1

Number of rolls this turn: 1
Score for turn so far: 4
If you HOLD now scores will be: 
player 1: 37
player 2: 24

DECISION - ROLL AGAIN

player 1 rolled a 2 on roll number 2

Number of rolls this turn: 2
Score for turn so far: 6
If you HOLD now scores will be: 
player 1: 39
player 2: 24

DECISION - ROLL AGAIN

player 1 rolled a 3 on roll number 3

Number of rolls this turn: 3
Score for turn so far: 9
If you HOLD now scores will be: 
player 1: 42
player 2: 24

DECISION - ROLL AGAIN

player 1 rolled a 6 on roll number 4

Number of rolls this turn: 4
Score for turn so far: 15
If you HOLD now scores will be: 
player 1: 48
player 2: 24

DECISION - HOLD - TURN IS OVER

START OF TURN NUMBER 10
It is player 2's turn.
player 2 rolled a 2 on roll number 1

Number of rolls this turn: 1
Score for turn so far: 2
If you HOLD now scores will be: 
player 1: 48
player 2: 26

DECISION - ROLL AGAIN

player 2 rolled a 4 on roll number 2

Number of rolls this turn: 2
Score for turn so far: 6
If you HOLD now scores will be: 
player 1: 48
player 2: 30

DECISION - ROLL AGAIN

player 2 rolled a 4 on roll number 3

Number of rolls this turn: 3
Score for turn so far: 10
If you HOLD now scores will be: 
player 1: 48
player 2: 34

DECISION - ROLL AGAIN

player 2 rolled a 4 on roll number 4

Number of rolls this turn: 4
Score for turn so far: 14
If you HOLD now scores will be: 
player 1: 48
player 2: 38

DECISION - ROLL AGAIN

player 2 rolled a 6 on roll number 5

Number of rolls this turn: 5
Score for turn so far: 20
If you HOLD now scores will be: 
player 1: 48
player 2: 44

DECISION - HOLD - TURN IS OVER

START OF TURN NUMBER 11
It is player 1's turn.
player 1 rolled a 2 on roll number 1

Number of rolls this turn: 1
Score for turn so far: 2
If you HOLD now scores will be: 
player 1: 50
player 2: 44

DECISION - ROLL AGAIN

player 1 rolled a 4 on roll number 2

Number of rolls this turn: 2
Score for turn so far: 6
If you HOLD now scores will be: 
player 1: 54
player 2: 44

DECISION - ROLL AGAIN

player 1 rolled a 1 on roll number 3

PIG! Score for turn is 0. TURN IS OVER

START OF TURN NUMBER 12
It is player 2's turn.
player 2 rolled a 3 on roll number 1

Number of rolls this turn: 1
Score for turn so far: 3
If you HOLD now scores will be: 
player 1: 48
player 2: 47

DECISION - ROLL AGAIN

player 2 rolled a 2 on roll number 2

Number of rolls this turn: 2
Score for turn so far: 5
If you HOLD now scores will be: 
player 1: 48
player 2: 49

DECISION - ROLL AGAIN

player 2 rolled a 2 on roll number 3

Number of rolls this turn: 3
Score for turn so far: 7
If you HOLD now scores will be: 
player 1: 48
player 2: 51

DECISION - ROLL AGAIN

player 2 rolled a 3 on roll number 4

Number of rolls this turn: 4
Score for turn so far: 10
If you HOLD now scores will be: 
player 1: 48
player 2: 54

DECISION - ROLL AGAIN

player 2 rolled a 4 on roll number 5

Number of rolls this turn: 5
Score for turn so far: 14
If you HOLD now scores will be: 
player 1: 48
player 2: 58

DECISION - HOLD - TURN IS OVER

START OF TURN NUMBER 13
It is player 1's turn.
player 1 rolled a 4 on roll number 1

Number of rolls this turn: 1
Score for turn so far: 4
If you HOLD now scores will be: 
player 1: 52
player 2: 58

DECISION - ROLL AGAIN

player 1 rolled a 2 on roll number 2

Number of rolls this turn: 2
Score for turn so far: 6
If you HOLD now scores will be: 
player 1: 54
player 2: 58

DECISION - ROLL AGAIN

player 1 rolled a 5 on roll number 3

Number of rolls this turn: 3
Score for turn so far: 11
If you HOLD now scores will be: 
player 1: 59
player 2: 58

DECISION - ROLL AGAIN

player 1 rolled a 3 on roll number 4

Number of rolls this turn: 4
Score for turn so far: 14
If you HOLD now scores will be: 
player 1: 62
player 2: 58

DECISION - ROLL AGAIN

player 1 rolled a 5 on roll number 5

Number of rolls this turn: 5
Score for turn so far: 19
If you HOLD now scores will be: 
player 1: 67
player 2: 58

DECISION - HOLD - TURN IS OVER

START OF TURN NUMBER 14
It is player 2's turn.
player 2 rolled a 4 on roll number 1

Number of rolls this turn: 1
Score for turn so far: 4
If you HOLD now scores will be: 
player 1: 67
player 2: 62

DECISION - ROLL AGAIN

player 2 rolled a 6 on roll number 2

Number of rolls this turn: 2
Score for turn so far: 10
If you HOLD now scores will be: 
player 1: 67
player 2: 68

DECISION - ROLL AGAIN

player 2 rolled a 4 on roll number 3

Number of rolls this turn: 3
Score for turn so far: 14
If you HOLD now scores will be: 
player 1: 67
player 2: 72

DECISION - ROLL AGAIN

player 2 rolled a 2 on roll number 4

Number of rolls this turn: 4
Score for turn so far: 16
If you HOLD now scores will be: 
player 1: 67
player 2: 74

DECISION - ROLL AGAIN

player 2 rolled a 4 on roll number 5

Number of rolls this turn: 5
Score for turn so far: 20
If you HOLD now scores will be: 
player 1: 67
player 2: 78

DECISION - HOLD - TURN IS OVER

START OF TURN NUMBER 15
It is player 1's turn.
player 1 rolled a 4 on roll number 1

Number of rolls this turn: 1
Score for turn so far: 4
If you HOLD now scores will be: 
player 1: 71
player 2: 78

DECISION - ROLL AGAIN

player 1 rolled a 4 on roll number 2

Number of rolls this turn: 2
Score for turn so far: 8
If you HOLD now scores will be: 
player 1: 75
player 2: 78

DECISION - ROLL AGAIN

player 1 rolled a 1 on roll number 3

PIG! Score for turn is 0. TURN IS OVER

START OF TURN NUMBER 16
It is player 2's turn.
player 2 rolled a 6 on roll number 1

Number of rolls this turn: 1
Score for turn so far: 6
If you HOLD now scores will be: 
player 1: 67
player 2: 84

DECISION - ROLL AGAIN

player 2 rolled a 1 on roll number 2

PIG! Score for turn is 0. TURN IS OVER

START OF TURN NUMBER 17
It is player 1's turn.
player 1 rolled a 1 on roll number 1

PIG! Score for turn is 0. TURN IS OVER

START OF TURN NUMBER 18
It is player 2's turn.
player 2 rolled a 1 on roll number 1

PIG! Score for turn is 0. TURN IS OVER

START OF TURN NUMBER 19
It is player 1's turn.
player 1 rolled a 5 on roll number 1

Number of rolls this turn: 1
Score for turn so far: 5
If you HOLD now scores will be: 
player 1: 72
player 2: 78

DECISION - ROLL AGAIN

player 1 rolled a 2 on roll number 2

Number of rolls this turn: 2
Score for turn so far: 7
If you HOLD now scores will be: 
player 1: 74
player 2: 78

DECISION - ROLL AGAIN

player 1 rolled a 2 on roll number 3

Number of rolls this turn: 3
Score for turn so far: 9
If you HOLD now scores will be: 
player 1: 76
player 2: 78

DECISION - ROLL AGAIN

player 1 rolled a 4 on roll number 4

Number of rolls this turn: 4
Score for turn so far: 13
If you HOLD now scores will be: 
player 1: 80
player 2: 78

DECISION - ROLL AGAIN

player 1 rolled a 4 on roll number 5

Number of rolls this turn: 5
Score for turn so far: 17
If you HOLD now scores will be: 
player 1: 84
player 2: 78

DECISION - HOLD - TURN IS OVER

START OF TURN NUMBER 20
It is player 2's turn.
player 2 rolled a 5 on roll number 1

Number of rolls this turn: 1
Score for turn so far: 5
If you HOLD now scores will be: 
player 1: 84
player 2: 83

DECISION - ROLL AGAIN

player 2 rolled a 6 on roll number 2

Number of rolls this turn: 2
Score for turn so far: 11
If you HOLD now scores will be: 
player 1: 84
player 2: 89

DECISION - ROLL AGAIN

player 2 rolled a 3 on roll number 3

Number of rolls this turn: 3
Score for turn so far: 14
If you HOLD now scores will be: 
player 1: 84
player 2: 92

DECISION - ROLL AGAIN

player 2 rolled a 3 on roll number 4

Number of rolls this turn: 4
Score for turn so far: 17
If you HOLD now scores will be: 
player 1: 84
player 2: 95

DECISION - ROLL AGAIN

player 2 rolled a 3 on roll number 5

Number of rolls this turn: 5
Score for turn so far: 20
If you HOLD now scores will be: 
player 1: 84
player 2: 98

DECISION - HOLD - TURN IS OVER

START OF TURN NUMBER 21
It is player 1's turn.
player 1 rolled a 4 on roll number 1

Number of rolls this turn: 1
Score for turn so far: 4
If you HOLD now scores will be: 
player 1: 88
player 2: 98

DECISION - ROLL AGAIN

player 1 rolled a 6 on roll number 2

Number of rolls this turn: 2
Score for turn so far: 10
If you HOLD now scores will be: 
player 1: 94
player 2: 98

DECISION - ROLL AGAIN

player 1 rolled a 2 on roll number 3

Number of rolls this turn: 3
Score for turn so far: 12
If you HOLD now scores will be: 
player 1: 96
player 2: 98

DECISION - ROLL AGAIN

player 1 rolled a 2 on roll number 4

Number of rolls this turn: 4
Score for turn so far: 14
If you HOLD now scores will be: 
player 1: 98
player 2: 98

DECISION - ROLL AGAIN

player 1 rolled a 6 on roll number 5

Number of rolls this turn: 5
Score for turn so far: 20
If you HOLD now scores will be: 
player 1: 104
player 2: 98

DECISION - HOLD - TURN IS OVER

FINAL RESULTS: 
Number of turns: 21
player 1 score: 104
player 2 score: 98
player 1 won the game!

RUNNING EXPERIMENTS (10,000 GAMES EACH) WITH NO OUTPUT

player 1 and player 2 stop at 15 points for turn
player 1 wins: 5368
player 2 wins: 4632

player 1 and player 2 stop at 5 rolls for turn
player 1 wins: 5262
player 2 wins: 4738

player 1 stops at 15 points and player 2 stops at 5 rolls
player 1 wins: 4983
player 2 wins: 5017

player 1 stops at 5 rolls and player 2 stops at 15 points
player 1 wins: 5699
player 2 wins: 4301