Question: Bayes Theorem: Pack of Cards

Question

A card from a pack of 52 cards is lost. From the remaining cards of the pack, two cards are drawn one by one, without replacement and are found to be both kings. Find the probability that the lost card is a king.

Answer 1

There are 4 kings out of 52. After 2 kings are selected, there are 2 kings and 50 cards left, so the probability that a king is selected is 2/50 = 1/25 = .04 = 4%