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SIG Quant Interview Questions: What to Expect and How to Prepare

In this article, we will solve and deeply explain several real quant interview questions from SIG and other firms. Through detailed solutions, you will learn the fundamental concepts and problem-solving strategies that top firms expect from successful quant candidates.

A deck of 18 custom playing cards is numbered from 1 to 18. A card is drawn 6 times with replacement. If \( X \) is the number of draws that result in a prime number, what is \( \mathbb{E}(X) \) (the expected value of \( X \))?

First, list all prime numbers in the range 1 to 18: