Question

a bag of 100 tulip bulbs purchased from a nursery contains 30 red tulip bulbs, 35 yellow tulip bulbs, and 35 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.)

Explanation:

Step1: Recall probability formula

The probability formula is $P(A)=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$.

Step2: Calculate probability of red tulip

For red tulips, the number of favorable outcomes is 30 (number of red tulip bulbs) and the total number of outcomes is 100 (total number of tulip bulbs). So $P(\text{red})=\frac{30}{100} = 0.3$.

Step3: Calculate probability of purple tulip

For purple tulips, the number of favorable outcomes is 35 (number of purple tulip bulbs) and the total number of outcomes is 100. So $P(\text{purple})=\frac{35}{100}=0.35$.

Step4: Interpret probabilities

The probability 0.3 of selecting a red tulip means that if we were to select a tulip bulb many times, about 30% of the time we would get a red - colored tulip bulb. The probability 0.35 of selecting a purple tulip means that if we were to select a tulip bulb many times, about 35% of the time we would get a purple - colored tulip bulb.

Answer:

(a) 0.3
(b) 0.35
(c) The probability 0.3 of selecting a red tulip means about 30% of the time a red - colored tulip bulb would be selected in repeated selections. The probability 0.35 of selecting a purple tulip means about 35% of the time a purple - colored tulip bulb would be selected in repeated selections.