Final answer:
The probabilities of selecting a red tile and a blue tile from a jar are complementary because they are the only two outcomes and their probabilities add up to 1. This makes them mutually exclusive and complementary (Option D).
Step-by-step explanation:
The relationship between the probabilities of selecting a red tile and a blue tile from the jar is that they are complementary. The jar contains 25 red tiles and 95 blue tiles, totaling 120 tiles. The probability of selecting a red tile (P(Red)) is the number of red tiles divided by the total number of tiles, which is 25/120. The probability of selecting a blue tile (P(Blue)) is the number of blue tiles divided by the total number of tiles, which is 95/120.
Since there are only red and blue tiles in the jar, these two events are mutually exclusive; a tile cannot be both red and blue at the same time. Furthermore, because they are the only two outcomes, they are also complementary, meaning the sum of their probabilities is equal to 1.
Therefore, P(Red) + P(Blue) = 25/120 + 95/120 = 120/120 = 1. This relationship makes the probabilities of selecting a red tile and a blue tile complementary (Option D).