You have a 52 cards deck and you draw 3 random cards from it. What are the probabilities of the following (order doesn't matter in all of them):(adsbygoogle = window.adsbygoogle || []).push({});

1. Drawing two specific cards (suit doesn't matter) with the third one being any other card. For example 6 9 x or 9 6 x or x 6 9, etc..

2. Drawing two specific cards (ie. 4&5, 8&3, etc..) with the third one being any other card and having all three cards be of different suits.

2. Drawing two specific cards of the same suit (ie. 6 of spades and 9 of spades, 4 of hearts and 7 of hearts, etc..) with the third one being any other card with a different suit.

I'm more interested in knowing how to calculate those probabilities than in just knowing the probabilities, so if you can show me how to calculate all 3 of them that would be great!

Edit: for the first condition, the third card (x) can be one of the two cards selected (ie. 6 9 9 is valid).

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Drawing from a deck of cards

**Physics Forums | Science Articles, Homework Help, Discussion**