All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Two Packs Of Cards (Posted on 2004-02-05)
Two identical pack of cards A and B are shuffled throughly. One card is picked from A and shuffled with B. The top card from pack A is turned up.
If this is the Queen of Hearts, what are the chances that the top card in B will be the King of Hearts?

 Submitted by Ravi Raja Rating: 3.8571 (7 votes) Solution: (Hide) There are two cases to be considered. CASE 1 : King of Hearts is drawn from Pack A and shuffled with Pack B Probability of drawing King of Hearts from Pack A = 1/51 (as Queen of Hearts is not to be drawn) Probability of having King of Hearts on the top of the Pack B = 2/53 So total probability of case 1 = (1/51) * (2/53) = 2 / (51 * 53) CASE 2 : King of Hearts is not drawn from Pack A Probability of not drawing King of Hearts from Pack A = 50/51 (as Queen of Hearts is not to be drawn) Probability of having King of Hearts on the top of the Pack B = 1/53 So total probability of case 2 = (50/51) * (1/53) = 50 / (51 * 53) Now adding both the probability, the required probability is = 2 / (51 * 53) + 50 / (51 * 53) = 52 / (51 * 53) = 52 / 2703 = 0.0192378

 Subject Author Date Testbanks21 robin smithsters 2022-04-20 07:46:08 Puzzle Solution K Sengupta 2021-12-31 06:14:41 A KING INDEED G 2004-02-06 20:16:53 re(2): Agreement with nobody Phil 2004-02-06 14:42:25 re: Agreement with nobody Charlie 2004-02-06 14:20:34 Agreement with nobody Phil 2004-02-06 13:45:34 solution Freddy Grants 2004-02-05 23:48:21 re(4): Solution Phil 2004-02-05 23:28:55 re(3): Solution winnifred foster 2004-02-05 17:37:36 Agreement with Charlie Phil 2004-02-05 15:09:48 my solution Ady TZIDON 2004-02-05 13:55:43 re(2): Solution lovejoy 2004-02-05 11:46:33 Solution Brian Smith 2004-02-05 09:09:12 re: Solution winnifred foster 2004-02-05 08:45:02 re: Solution Charlie 2004-02-05 08:43:55 Solution stan 2004-02-05 08:30:09

 Search: Search body:
Forums (0)