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 (Type an integer or a decimal. Do not round.)

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

Step 2 ：We are asked to find the probability that a randomly selected tulip bulb is red.

Step 3 ：The probability of an event is calculated by dividing the number of ways the event can occur by the total number of outcomes.

Step 4 ：In this case, the event is selecting a red tulip bulb, and the total number of outcomes is the total number of tulip bulbs.

Step 5 ：So, to find the probability, we need to divide the number of red tulip bulbs by the total number of tulip bulbs.

Step 6 ：Let's denote the number of red tulip bulbs as \(red\_bulbs\) and the total number of tulip bulbs as \(total\_bulbs\).

Step 7 ：We know that \(red\_bulbs = 20\) and \(total\_bulbs = 100\).

Step 8 ：The probability that a randomly selected tulip bulb is red, denoted as \(probability\_red\), is calculated as \(probability\_red = \frac{red\_bulbs}{total\_bulbs}\).

Step 9 ：Substituting the given values, we get \(probability\_red = \frac{20}{100} = 0.2\).

Step 10 ：Final Answer: The probability that a randomly selected tulip bulb is red is \(\boxed{0.2}\).