All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info
Home > Probability
Problems dealing with various probabilities, be it coin tossing or game winning.
Define a legal Solitaire-type move within a group of face-up playing cards as moving one card to partially cover a stationary card provided that the stationary card:

1) has numeric value exactly one larger than the card to be moved; and

2) is of a color opposite to that of the card to be moved.

Note that Jack, Queen and King have numeric values of 11, 12 and 13 respectively and Ace only has the value of 1.

-----

From 52 cards, 8 cards are randomly chosen and are laid out face up in a row. In this simplified game, the other 44 cards are discarded. What is the probability that no legal Solitaire-type move is possible for a:

a) Standard Deck, 2 suits are red and 2 suits are black.

b) One-Suit Deck: what if the 52 cards are all one suit, 4 complete sets of Ace through King, and the "opposite color" requirement is removed?

(No Solution Yet, 2 Comments) Submitted on 2021-01-12 by Larry   
Page 2 of 30   << prev next >>    
Difficulty: 3 of 5Yahtzee | Rating: 3.00
Posted on 2019-08-20 by Danish Ahmed Khan (No Solution Yet, 1 Comments)
Difficulty: 4 of 5Pairs of primes |
Posted on 2019-07-27 by Ady TZIDON (No Solution Yet, 10 Comments)
Difficulty: 3 of 5Find the rainbow |
Posted on 2019-06-13 by Danish Ahmed Khan (No Solution Yet, 1 Comments)
Difficulty: 2 of 5No copying, students |
Posted on 2019-05-10 by Danish Ahmed Khan (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Number Cards Before Face Cards | Rating: 3.00
Posted on 2019-05-02 by Charlie (Solution Posted, 6 Comments)
Difficulty: 3 of 5He stole my ball! |
Posted on 2019-04-24 by Danish Ahmed Khan (No Solution Yet, 8 Comments)
Difficulty: 4 of 5Corruption in my file |
Posted on 2019-03-07 by Danish Ahmed Khan (No Solution Yet, 1 Comments)
Difficulty: 2 of 5Uniform distribution |
Posted on 2019-01-25 by Ady TZIDON (No Solution Yet, 9 Comments)
Difficulty: 2 of 5Box of balls | Rating: 4.00
Posted on 2018-10-16 by Ady TZIDON (Solution Posted, 6 Comments)
Difficulty: 3 of 5Who pinched the dice? |
Posted on 2018-10-04 by broll (No Solution Yet, 10 Comments)
Difficulty: 3 of 5Monty Hall variant |
Posted on 2018-09-30 by Jer (No Solution Yet, 6 Comments)
Difficulty: 2 of 5Winner moves |
Posted on 2018-08-20 by Jer (No Solution Yet, 2 Comments)
Difficulty: 3 of 5Probability of being coprime |
Posted on 2018-07-11 by Ady TZIDON (No Solution Yet, 4 Comments)
Difficulty: 3 of 57 come zero | Rating: 5.00
Posted on 2018-06-28 by Ady TZIDON (No Solution Yet, 5 Comments)
Difficulty: 4 of 5Play until you win |
Posted on 2018-06-15 by Jer (No Solution Yet, 1 Comments)
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (6)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2021 by Animus Pactum Consulting. All rights reserved. Privacy Information