Cards- pair- probability

This topic has expert replies
Senior | Next Rank: 100 Posts
Posts: 58
Joined: Tue Aug 26, 2008 9:42 am

Cards- pair- probability

by ru2008 » Tue May 11, 2010 10:19 am
Bill has a small deck of 12 playing cards made up of only 2 suits of 6 cards each. Each of the 6 cards within a suit has a different value from 1 to 6; thus, there are 2 cards in the deck that have the same value.

Bill likes to play a game in which he shuffles the deck, turns over 4 cards, and looks for pairs of cards that have the same value. What is the chance that Bill finds at least one pair of cards that have the same value?


8/33


62/165


17/33


103/165


25/33
Source: — Problem Solving |

User avatar
Legendary Member
Posts: 748
Joined: Sun Jan 31, 2010 7:54 am
Thanked: 46 times
Followed by:3 members

by outreach » Tue May 11, 2010 10:29 am
https://www.beatthegmat.com/deck-of-cards-t28564.html
ru2008 wrote:Bill has a small deck of 12 playing cards made up of only 2 suits of 6 cards each. Each of the 6 cards within a suit has a different value from 1 to 6; thus, there are 2 cards in the deck that have the same value.

Bill likes to play a game in which he shuffles the deck, turns over 4 cards, and looks for pairs of cards that have the same value. What is the chance that Bill finds at least one pair of cards that have the same value?


8/33


62/165


17/33


103/165


25/33
-------------------------------------
--------------------------------------
General blog
https://amarnaik.wordpress.com
MBA blog
https://amarrnaik.blocked/