Three numbers are chosen at random without replacement from {1, 2, 3, ...... 8}. The probability that their minimum is 3, given that their maximum is 6, is (1) `3/8` (2) `1/5` (3) `1/4` (4) `2/5`

Explanation

To solve the problem step-by-step, we need to find the probability that the minimum of three randomly chosen numbers from the set {1, 2, 3, ..., 8} is 3, given that their maximum is 6.

### Step 1: Understand the conditions
We are given that the maximum of the three chosen numbers is 6. This means that the numbers can only be chosen from the set {1, 2, 3, 4, 5, 6}.

**Hint:** Identify the range of numbers you can choose from based on the maximum value.

### Step 2: Determine the sample space
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