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Card Game

CalcMedium~15 min· Probability
Problem

The Problem

A standard 52-card deck is shuffled. You draw cards one at a time without replacement.

  1. What is the probability that the first ace appears on the 5th draw?
  2. What is the expected position of the first ace?
  3. What is the probability that the first ace and the first king are both in the first 10 cards?