Reference no: EM131594998

Question: This is a simple game, where you throw a dice which controls the position of your counter on a 3×3 board.

Place your counter at the START square. Throw a dice.

- If you get an EVEN number, you move your counter one squareupwards. If you get an ODD number, you move your counter one squareleft.

- If your counter moves off any side of the board, you lose!

- If your counter reaches the FINISH square, you have won.

Play the game a few times and see if you win.

1) How many 'odds' and how many 'evens' do you need to get to win?

2) What is the probability of winning?

Extensions

1) Play the game 20 or 30 times to find the experimental probability. Check your answers with that of question 2, above.

2) Analyse the same game on a4×4, 5×5, . . .,board.