Solution:
The possible outcomes of the game are {1,2,3,4,5,6,7,8}
Number of possible outcomes = 8
(i) Let E be the event of arrow pointing 8.
Outcomes favourable to E is 8.
Number of favourable outcomes = 1
P(E) = 1/8
Hence the probability of arrow pointing 8 is 1/8.
(ii) Let E be the event of arrow pointing at odd number.
Outcomes favourable to E is {1,3,5,7}
Number of favourable outcomes = 4
P(E) = 4/8 = 1/2
Hence the probability of arrow pointing at odd number is ½.