Holding the Ace of Spades
A 13-card bridge hand is dealt uniformly at random from a standard 52-card deck. You learn that the hand contains the ace of spades. What is the probability that it contains at least two aces? Give the exact reduced fraction, or a decimal rounded to four places.
Related problems & prerequisites
Worth solving first
- A Repeated Face 5.0/10
- The Talkative Warden 5.0/10
- Monty Hall, Generalized 4.0/10
Source: Classic 'two aces' paradox of conditional probability, discussed in many probability texts and puzzle collections. Statement written for AxiomIQ.