A bag of 100 tulip bulbs purchased from a nursery contains 30 red tulip bulbs, 25 yellow tulip bulbs, and 45 purple tulip bulbs. (a) What is the probability that a randomly selected tulip bulb is red? (b) What is the probability that a randomly selected tulip bulb is purple? (c) Interpret these two probabilities. (a) The probability that a randomly selected tulip is red is (Type an integer or a decimal. Do not round.)

The probability that a randomly selected tulip bulb is red can be calculated by dividing the number of red tulip bulbs by the total number of tulip bulbs. So, that’s 30 red bulbs divided by 100 total bulbs, giving a probability of 0.30. Similarly, for the purple tulip bulbs, you find the probability by dividing the number of purple bulbs by the total number. Thus, 45 purple bulbs divided by 100 total bulbs gives a probability of 0.45. Interpreting these probabilities means that there’s a 30% chance you’ll pick a red tulip bulb, while there’s a 45% chance you’ll pick a purple tulip bulb. This highlights that purple tulips are more common in this bag, so if you hear someone passionately talking about their favorite color, they might be in for a colorful surprise! If you’re looking to spice up your gardening game, consider mixing these colors in your planting design! You can create a stunning visual contrast in your garden that attracts the eye and brings joy to your outdoor space. Plus, you'll have fun experimenting with different arrangements and themes. Make sure to check local growing conditions for tulips to ensure a bountiful bloom. Happy planting!