A bag of 100 tulip bulbs purchased from a nursery contains 20 red tulip bulbs, 25 yellow tulip bulbs, and 55 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 0.2 .
(Type an integer or a decimal. Do not round.)
(b) The probability that a randomly selected tulip bulb is purple is (Type an integer or a decimal. Do not round.)

Step 1 ：Given that a bag of 100 tulip bulbs contains 20 red tulip bulbs, 25 yellow tulip bulbs, and 55 purple tulip bulbs.

Step 2 ：The probability of an event is calculated by dividing the number of ways the event can occur by the total number of outcomes.

Step 3 ：In this case, the total number of outcomes is the total number of tulip bulbs, which is 100.

Step 4 ：The number of ways the event can occur is the number of red or purple tulip bulbs.

Step 5 ：So, to find the probability that a randomly selected tulip bulb is red, we need to divide the number of red tulip bulbs by the total number of tulip bulbs. This gives us \(\frac{20}{100} = 0.2\).

Step 6 ：Similarly, to find the probability that a randomly selected tulip bulb is purple, we need to divide the number of purple tulip bulbs by the total number of tulip bulbs. This gives us \(\frac{55}{100} = 0.55\).

Step 7 ：Final Answer: The probability that a randomly selected tulip bulb is red is \(\boxed{0.2}\) and the probability that a randomly selected tulip bulb is purple is \(\boxed{0.55}\).