Correct Answer - Option 3 : 11/850

**Given:**

Total number of cards = 52

**Formula used:**

Probability = (Number of successful outcomes/Total number of outcomes)

**Calculation:**

Total number of cards = 52

Then, Number of ways to choose 3 cards = ^{52}C_{3 }= 22100

Total number of diamonds = 13

Number of ways to choose 3 diamonds = ^{13}C_{3} = 286

Now, Probability that all of them are diamonds = 286/22100 = 11/850

**∴ The probability that all of them are diamonds is 11/850.**