Final answer:
The probability P(S) that a randomly selected OLED display was made by Samsung is 0.234. The odds in favor of Samsung producing an OLED display is approximately 0.234 divided by 0.766, which should be calculated and rounded to three decimal places.
Step-by-step explanation:
Given that Samsung ships 23.4 percent of the OLED displays in the world, the probability P(S) that a randomly selected OLED display was made by Samsung is 0.234. To round this to three decimal places, we simply leave it as 0.234 since there are no additional digits beyond the third decimal place.
The odds in favor of event S (Samsung OLED displays) are calculated by taking the probability of the event occurring over the probability of it not occurring. The odds in favor are P(S) / (1 - P(S)). Plugging in our values, we get 0.234 / (1 - 0.234) which equals 0.234 / 0.766. Upon calculation, we round the result to three decimal places to find the odds in favor of event S.