tag:blogger.com,1999:blog-15628310.post4866839182425268483..comments2024-02-11T22:40:20.959-05:00Comments on Question of the day: Playing With the Queen of HeartsAnonymoushttp://www.blogger.com/profile/18153935609499338685noreply@blogger.comBlogger4125tag:blogger.com,1999:blog-15628310.post-47162151346384356762009-11-17T09:22:32.118-05:002009-11-17T09:22:32.118-05:00This is a little tricky. The answer is 1/53 + (1/5...This is a little tricky. The answer is 1/53 + (1/53 * (1/51)) which reduces to 52/2703 or approximately 1.92378838%.<br /><br />The trick is this. If the top card of A is the Queen of Hearts then the chances that we picked the King of Hearts out of A and put it into B is 1/51. The chances of picking the King of Hearts from the original B deck are 1/53 (53 because we added the card from A) and the chances that we pick the a King of Hearts from A shuffled into B is 1/51 * 1/53. So the total chances are 1/53 + 1/53 * 1/51.<br /><br />The big trick is the Queen of Hearts. If the question said that you turned up some random card from A then the answer would be 1/53 + 1/53 * 1/52. But since we know it is the Queen then we know that the card we took from A is not the Queen so it is one of the 51 other cards in the deck.Anonymoushttps://www.blogger.com/profile/18153935609499338685noreply@blogger.comtag:blogger.com,1999:blog-15628310.post-42168189259021791062009-11-17T06:35:10.914-05:002009-11-17T06:35:10.914-05:00is it.. 52 / (51 * 53)is it.. 52 / (51 * 53)Anonymousnoreply@blogger.comtag:blogger.com,1999:blog-15628310.post-63128780176940065352009-11-17T01:07:48.149-05:002009-11-17T01:07:48.149-05:00Andy has explained with very well, and I reached t...Andy has explained with very well, and I reached the same equation.<br /><br />SO I guess that is the answer.<br />.01924....<br /><br /><b>www.guessthelogo.blogspot.com</b>www.guessthelogo.blogspot.comhttp://www.guessthelogo.blogspot.comnoreply@blogger.comtag:blogger.com,1999:blog-15628310.post-72190613854832035402009-11-16T11:09:51.923-05:002009-11-16T11:09:51.923-05:00Here's an attempt...
Your chances are 1/53 if...Here's an attempt...<br /><br />Your chances are 1/53 if the King of Hearts was not the card you moved from pack A to pack B, and 2/53 if it is the card you moved. The odds of the King of Hearts being the card you moved over are 1/51 (since you eliminated the Queen of Hearts). So I'd say the chances are:<br /><br />(1/53 * 50/51) + (2/53 * 1/51) = .01924ishAndyhttps://www.blogger.com/profile/14117563810484999900noreply@blogger.com