Answer:
The probability that BOTH of them have the secret decoder ring is
.
Step-by-step explanation:
From the given information it is clear that the total number of boxes is 54.
Total number of boxes that have the secret decoder ring = 11
Total number of boxes that have a different gift inside = 43
Total number of ways to select 2 boxes from the boxes that have the secret decoder ring is

Total number of ways to select 2 boxes from the total number of boxes is

The probability that BOTH of them have the secret decoder ring is


Therefore the probability that BOTH of them have the secret decoder ring is
.