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From a pack of 52 cards, three cards are drawn at random. What is the probability that all of them are diamonds?
1. 13/850
2. 27/850
3. 11/850
4. 39/850
5. 73/850

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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 = 52C= 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.

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