Final answer:
In this problem, we are asked to find the likelihood of both balls being red when two balls are randomly chosen from an urn. Given that 75% of the flowers in the urn are red and 25% are blue, we can calculate the probability step-by-step. The likelihood of both balls being red is 2/3 or approximately 66.67%.
Step-by-step explanation:
In order to determine the likelihood of both balls being red, we need to know the total number of red and blue balls in the urn. The given information states that 75% of the flowers in the urn are red and 25% are blue. Let's assume there are 100 balls in total. This means there are 75 red balls and 25 blue balls.
When the first ball is chosen, there is a 75% chance of it being red. So, there are 75 red balls and 100 balls in total, which gives us the probability of selecting a red ball on the first pick as 75/100 or 75%.
Now, when the second ball is chosen, we have already removed one ball from the urn, so there are now 99 balls in total. Since we did not replace the first ball, there is one less red ball in the urn, leaving us with 74 red balls and 99 balls in total. Therefore, the probability of selecting a red ball on the second pick is 74/99.