SOLUTION: In a discreet box, there are 2 red pens and 4 black pens. Mario is asked to pick three pens randomly without replacement. How many possible outcomes are there in the sample space?

Algebra.Com
Question 1191553: In a discreet box, there are 2 red pens and 4 black pens. Mario is asked to pick three pens randomly without replacement. How many possible outcomes are there in the sample space?
Found 3 solutions by ikleyn, Alan3354, greenestamps:
Answer by ikleyn(52781)   (Show Source): You can put this solution on YOUR website!
.

In all, there are 2 + 4 = 6 pens in the box.


Mario picks 3 pens.


It can be done in   =  = 5*4 = 20 ways.    ANSWER


The number   is the number of combinations of 6 items taken 3 at a time.

Solved.

-------------------

This problem is on COMBINATIONS.


On  Combinations,  see introductory lessons
    - Introduction to Combinations
    - PROOF of the formula on the number of Combinations
    - Problems on Combinations
    - OVERVIEW of lessons on Permutations and Combinations
in this site.

Also,  you have this free of charge online textbook in ALGEBRA-II in this site
    - ALGEBRA-II - YOUR ONLINE TEXTBOOK.

The referred lessons are the part of this online textbook under the topic  "Combinatorics: Combinations and permutations".


Save the link to this textbook together with its description

Free of charge online textbook in ALGEBRA-II
https://www.algebra.com/algebra/homework/complex/ALGEBRA-II-YOUR-ONLINE-TEXTBOOK.lesson

into your archive and use when it is needed.



Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
What is a "discreet box?"
Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


The question is open to different interpretations....

The way I read it, the 2 red pens are indistinguishable, as are the 4 black pens.

With that interpretation, there are 3 outcomes in the sample space, because the number of red pens among the 3 chosen can be either 0, 1, or 2.

ANSWER: 3 possible outcomes
black, black, black
red, black, black
red, red, black
RELATED QUESTIONS

There are two boxes containing only orange and red pens. Box A has 12 red pens and 8... (answered by Edwin McCravy)
There are 12 pens in a pack. 7 of the pens are blue and 5 of the pens are red. Three pens (answered by stanbon)
In a box there are R red pens and B blue pens. Pens are randomly selected, one at a time, (answered by Fombitz)
There are 25 red pens, 25 green pens and 25 blue pens in a box. You are blindfolded, how... (answered by fractalier)
1. In a box there are 3 red pens, 5 blue pens, and 2 black pens. If a
person... (answered by oscargut)
there is a box of pens and pencils 64 percent are pens. what is the ratio of pens to... (answered by ikleyn)
Bob has a box in front of him. There are 6 red pens, 4 blue pens, and 2 green pens (answered by ewatrrr)
there are 6 red pens 5 green pens 4 bluepens and 6 black pens all mixed up in a the... (answered by Fombitz)
In a box there are 40 pens and 20% are red how many are... (answered by farbonara)