Challenge 1: 15 piece chocolate
In this 2 player game, we have a 15 piece chocolate bar.
– In their turn, a player can break the bar along any of the lines into 2 pieces.
– The next player then breaks any of the pieces further.
– This goes on until a player cannot break a piece into further smaller pieces.
– The player unable to make a move loses the game.
What’s the winning strategy? Should you take the 1st turn or the 2nd turn? Why?
What students worked out6
Student 3
The Winning strategy is to take the second turn
for all odd number of bars second turn person will win
Student 1
2’nd person will win because the first person always starts with odd and ends with even number then has to break it down then 2’nd person will make it 1 and 1 and win
Student 10
Sir 2nd person will win the game if there is a 15 piece chocolate bar.
Student 8
2nd person will win the game if there is a 15 piece chocolate bar
Student 6
The 1st player has more chance to win in 15 piece chocolate
Student 4
the first person will win