I need to find P(s), P(s’), odds in favor of event S and odds against event S.

The probability of event S occurring is the same as the odds in favor of this event.
Since Samsung ships 21.8% of OLED, the probability that a randomly selected OLED was made by Samsung (event S) is 21.8%.
Writing it in decimal form, we obtain:
[tex]P(S)=\frac{21.8}{100}=0.218[/tex]And the probability of the complementary event S' happening is:
[tex]P(S^{\prime})=1-P(S)=1-0.218=0.782[/tex]Notice that if S' happens, then S won't happen, since they are complementary events. Therefore, the probability of 0.782 equals the odds against S.
Therefore, the answers are:
(a) 0.218
(b) 0.782
(c) 0.218
(d) 0.782