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 \(\boxed{0.2}\).