Puzzle #41 - The Jumbled Cards
Dr. Dan, an Industrial Psychologist, completed his education recently from Harvard University. When he was a Student Psychologist, under the supervision of his professors, he had to administer a test to four of his friends.
He gave one of four opaque envelopes, containing three playing cards each, to each of his friends: Manish, Joel, Amit, and Sanaa. Each card was either a King or a QUeen. The cards were taken from multiple packs and the suits to which they belonged were irrelevant. The number of Queens was different in each envelope.
On each envelope, he mentioned its contents. However, he jumbled up the envelopes and, as it turned out, he had labelled the contents of each envelope incorrectly.
Dan asked each of them to step forward and remove two cards from the envelope, read what was written on the envelope, and then tell him whether the third card was a King or Queen.
Manish stepped forward first, took two Queens out of his envelope and then read what was written on it. He was immediately able to deduce what the third card was.
Joel removed 1 Queen and 1 King from his envelope. After reading what was written on the envelope, he easily managed to tell Dan what the remaining card was.
Amit had 2 Kings in his envelope. He, then looked at what was written on his envelope, but could not decipher what the third card was.
Sanaa, without even looking at her cards or her envelope, correctly identified all three cards correctly.
You need to deduce what cards each of the friends had in their envelopes and what was written on each envelope. Provide a detailed explanation for your answer.