All five hearts

What this card-probability interview question tests

This is an easy probability question that appears frequently in quant trading and finance interviews. It tests your ability to count favorable outcomes and total outcomes in a sampling-without-replacement scenario, then reduce the fraction to a decimal form with appropriate precision.

To solve problems like this, you need to recall the structure of a standard deck, set up the ratio of ways to draw your target hand to total possible hands, and simplify carefully. Interviewers use questions at this level to verify that you can move fluidly between combinatorial counting and probability, and that you understand the difference between drawing with and without replacement.

• Combinations and the hypergeometric distribution
• Sampling without replacement
• Decimal representation and significant figures