Final answer:
The question seems to require the probability of a flower's head being purple or red, but only provides information for red and blue flowers. Without the probability for purple flowers, we can say the probability of having a red flower is 1/2 or 50%. Additional information about purple flowers would be necessary to give a complete answer.
Step-by-step explanation:
The question asks about the probability that a flower's head is either purple or red. We are given two contradictory pieces of information about the probability of flowers being red or blue, but nothing about purple flowers, so we must clarify or ignore the incorrect information. However, if we consider the information that 50% of the flowers are blue and 50% of the flowers are red, we can determine the probability of having either a red or purple flower assuming there are no purple flowers, since the question doesn't provide their probability. Assuming that purple flowers are not part of our probability space, the probability of having a red flower would be 1/2 or 50%. The probability of having a purple flower is not given, so it cannot be calculated without additional information.
Using the sum rule of probability, we know that in mutually exclusive events, the probability of either event occurring is the sum of their respective probabilities. Here, if purple was an option and was mutually exclusive from red, then the total probability would be the sum of the probability of a purple flower head and the probability of a red flower head. Since we are only given the probability for red, we cannot correctly apply the sum rule to find the total probability including purple.