Total number of balls = 8 + 6 + 4 = 18
Total no. of possible outcomes =18
(i) Let E = Event of getting red or white ball
No. of favourable outcomes = 14 (8 red balls + 6 white balls)
Probability, P(E) = Number of favourable outcomes/ Total number of outcomes
P(E) = 14/18
P(E) = 7/9
(ii) Let E = Event of getting a black ball
Number of favourable outcomes = 4 (4 black balls)
P(E) = 4/18
P(E) = 2/9
Then,
\(\overline E\)= Event of not getting a black ball
(iii) Let E = event of getting neither a white nor a black ball
No. of favourable outcomes = 18 – 6 – 4
= 8(Total balls – no. of white balls – no. of black balls)
Probability, P(E) = Number of favourable outcomes/ Total number of outcomes
P(E) = 8/18 = 4/9