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 = 52C3 = 22100
Total number of diamonds = 13
Number of ways to choose 3 diamonds = 13C3 = 286
Now, Probability that all of them are diamonds = 286/22100 = 11/850
∴ The probability that all of them are diamonds is 11/850.
