A game board is shown in the diagram. Players take turns to roll an ordinary fair die, then move their counters forward from ‘start’ a number of squares equal to the number rolled with the die.

If a player’s counter ends its move on a coloured square, then it is moved back to the start.

a. Find the probability that a player’s counter is on ‘start’ after rolling the die:

i. Once

ii. Twice.

b. Find the probability that after rolling the die three times, a player’s counter is on:

i. 18

ii. 17

Transcribed Image Text:

1. 3 6 8 9 10 18 17 15 14 13 11 4, START