Final answer:
The probability that a number greater than 50 is selected from the set is 2/3.
Step-by-step explanation:
To find the probability that a number greater than 50 is selected, we need to determine how many numbers in the given set are greater than 50 and divide it by the total number of numbers in the set. In this case, there are 4 numbers in the set that are greater than 50 (51, 60, 63, 65) out of a total of 6 numbers. So, the probability is 4/6, which can be simplified to 2/3.