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:
![P(S)=(21.8)/(100)=0.218](https://img.qammunity.org/2023/formulas/mathematics/college/6ggf9axvh6c3ax6t1wnq5arbswahles5ko.png)
And the probability of the complementary event S' happening is:
![P(S^(\prime))=1-P(S)=1-0.218=0.782](https://img.qammunity.org/2023/formulas/mathematics/college/2tgrylezl53ct36d2ci3panank33brxq4y.png)
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