Mary has a small pile of 14 cards, which contains 13 black cards and one red card. She deals the cards in the following way. First, she takes the card on top of the pack and places it on a table. The next card (the one on top of the remaining 13 cards) is then moved to the bottom of the pack. She repeats this process, placing a card on the table and then moving the next card to the bottom of the pack, until all of the 14 cards have been placed on the table. If the 12th card placed on the table is the red card, what was the position of the red card in the original pack?
Give your answer as a number between 1 and 14 (inclusive), where 1 means the top card, 2 the card second from the top, 3 the card third from the top and so on.
2007-02-05 04:03:26 · 17 answers · asked by Anonymous in Science & Mathematics ➔ Other - Science
The eigth card in the pack of 14!!
DANIEL, I WAS FIRST TO SAY 8!!!
2007-02-05 04:10:39 · answer #1 · answered by RobLough 3 · 0⤊ 0⤋
No cards drawn: 1-2-3-4-5-6-7-8-9-10-11-12-13-14
Draw 1: 3-4-5-6-7-8-9-10-11-12-13-14-2
Draw 2: 5-6-7-8-9-10-11-12-13-14-2-4
Draw 3: 7-8-9-10-11-12-13-14-2-4-6
Draw 4: 9-10-11-12-13-14-2-4-6-8
Draw 5: 11-12-13-14-2-4-6-8-10
Draw 6: 13-14-2-4-6-8-10-12
Draw 7: 2-4-6-8-10-12-14
Draw 8: 6-8-10-12-14-4
Draw 9: 10-12-14-4-8
Draw 10: 14-4-8-12
Draw 11: 8-12-4
Draw 12: 4-12
Draw 13: 12
Draw 14: no cards left.
Order of cards drawn: 1-3-5-7-9-11-13-2-6-10-14-8-4-12
Twelfth card drawn was originally card number 8 in the deck.
2007-02-05 13:26:34 · answer #2 · answered by CanTexan 6 · 1⤊ 0⤋
8
2007-02-05 12:13:39 · answer #3 · answered by amancalledchuda 4 · 0⤊ 0⤋
8
2007-02-05 12:11:08 · answer #4 · answered by ??????????? 2 · 0⤊ 0⤋
8
2007-02-05 12:10:45 · answer #5 · answered by jenna 1 · 0⤊ 0⤋
12
2007-02-05 12:07:55 · answer #6 · answered by laughingspam 3 · 0⤊ 0⤋
t was the last one. number 14
2007-02-05 12:09:52 · answer #7 · answered by Anonymous · 0⤊ 0⤋
Good 1! I think its 8!?!
2007-02-05 12:14:28 · answer #8 · answered by Girl 3 · 0⤊ 0⤋
4 xxxxxx
2007-02-05 12:08:57 · answer #9 · answered by Anonymous · 0⤊ 0⤋
8, I believe.
2007-02-05 12:28:18 · answer #10 · answered by Karen T 2 · 0⤊ 0⤋