Three numbers are chosen at random without replacement from {1,2,3,....10}. The probability that the minimum of the chosen number is 3 or their maximum is 7 , is:

Explanation

To solve the problem of finding the probability that the minimum of the chosen numbers is 3 or their maximum is 7 when three numbers are chosen at random without replacement from the set {1, 2, 3, ..., 10}, we can follow these steps:

### Step 1: Define Events
Let:
- \( E_1 \): The event that the minimum of the chosen numbers is 3.
- \( E_2 \): The event that the maximum of the chosen numbers is 7.

We need to calculate \( P(E_1 \cup E_2) \), which can be found using the formula:
...