Final answer:
The probability of selecting a yellow disk, given certain conditions, is 1/2.
Step-by-step explanation:
To find the probability of selecting a yellow disk given that the number selected is less than or equal to 3 or greater than or equal to 8, we need to determine the total number of favorable outcomes and the total number of possible outcomes.
There are 4 yellow disks numbered 7-10, and out of these, only the disks numbered 8, 9, and 10 meet the given condition. Therefore, the total number of favorable outcomes is 3.
On the other hand, there are 6 red disks numbered 1-6, and out of these, only the disks numbered 1, 2, and 3 meet the given condition. Therefore, the total number of favorable outcomes for red disks is also 3.
The total number of possible outcomes is the sum of the favorable outcomes for yellow and red disks, which is 3 + 3 = 6.
Therefore, the probability of selecting a yellow disk, given that the number selected is less than or equal to 3 or greater than or equal to 8, is 3/6 or 1/2.