Bot Ava has a bag of candies with six different flavors. She chooses one candy at random. It is unlikely that she will choose a watermelon candy. It is unlikely that she will choose a cherry candy. It is more likely that she will choose a watermelon candy than a cherry candy. P(watermelon) represents the probability that Ava will choose a watermelon candy. P(cherry) represents the probability that Ava will choose a cherry candy. What are possible values of P(watermelon) and P(cherry)?
Possible values of $P(\text{watermelon})$ and $P(\text{cherry})$ can be any values between 0 and 1. For it to be more likely that Ava will choose a watermelon candy than a cherry candy, we must have $P(\text{watermelon}) > P(\text{cherry})$. Additionally, since it is unlikely that Ava will choose a watermelon candy and unlikely that she will choose a cherry candy, we have $P(\text{watermelon}) < \frac{1}{2}$ and $P(\text{cherry}) < \frac{1}{2}$.
