Find the sample space

Probability Level 1

Two fair six-sided dice are rolled, and the rolls are added together. What is the sample space of this probability experiment?

{ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 } \{1,2,3,4,5,6,7,8,9,10,11,12\} { 1 , 2 , 3 , 4 , 5 , 6 } \{1,2,3,4,5,6\} { 2 , 4 , 6 , 8 , 10 , 12 } \{2,4,6,8,10,12\} { 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 } \{2,3,4,5,6,7,8,9,10,11,12\}

Andy Hayes by Andy Hayes , 38, USA

This section requires Javascript.
You are seeing this because something didn't load right. We suggest you, (a) try refreshing the page, (b) enabling javascript if it is disabled on your browser and, finally, (c) loading the non-javascript version of this page . We're sorry about the hassle.

3 solutions

Andy Hayes
May 31, 2016

Relevant wiki: Uniform Probability (by Outcomes)

The sample space is the set of all possible outcomes in the experiment. The lowest number that can be rolled is 2 2 (by rolling two 1 1 s), and the highest number that can be rolled is 12 12 (by rolling two 6 6 s). All the other numbers between can be rolled as well.

Notice that it's not possible to roll 1 1 !

18 Helpful 2 Interesting 2 Brilliant 0 Confused

what about Answer 1

Sasikumar Seevaratnam - 2 years, 5 months ago
Fahad Aldakheel
Apr 3, 2018

The sample space in this experiment of all possible outcomes would rang from 2-12, it will not be possible that both outcomes of the die would equal 1.

1 Helpful 1 Interesting 1 Brilliant 1 Confused
Sameer Salah
Jul 17, 2016

The solution don't contain 1 And it can be numbers from 2 to 12

So the last answer is the correct one

1 Helpful 1 Interesting 1 Brilliant 1 Confused

0 pending reports

×

Problem Loading...

Note Loading...

Set Loading...