Final answer:
To find the probability that the largest number is between 3 and 4 when choosing three real numbers, we need to consider the interval and calculate the probability based on that. Without specific values for the interval, we can't provide a numerical answer.
Step-by-step explanation:
To find the probability that the largest number is between 3 and 4, we need to first consider the total number of possibilities for choosing three real numbers from the interval. Let's assume the interval is [a, b].
If the largest number is between 3 and 4, then the other two numbers can be any real numbers from the interval [a, 3] and [4, b].
So, the probability of the largest number being between 3 and 4 is the same as the probability of choosing two real numbers from the interval [a, 3] and [4, b].
Since the probability of choosing a real number from the interval [a, 3] is (3-a)/(b-a) and the probability of choosing a real number from the interval [4, b] is (b-4)/(b-a), the probability of the largest number being between 3 and 4 is ((3-a)/(b-a))*((b-4)/(b-a)) = (3-a)(b-4)/(b-a)^2.
To determine the exact value of the probability, we need the specific values of a and b from the interval. Without that information, we can't provide a numerical answer.