• Welcome! The new FreeMathHelp.com forum is live. We've moved from VB4 to Xenforo 2.1 as our underlying software. Hopefully you find the upgrade to be a positive change. Please feel free to reach out as issues arise -- things will be a little different, and minor issues will no doubt crop up.

Short Answer Word Problem

aburchett

New member
Joined
Jan 19, 2011
Messages
48
Of 31 college seniors at Southern Swampland University, 17 preferred pepperoni, 12 preferred supreme, and 2 preferred cheese. If we picked a college senior at Southern Swampland University at random, what is the probability that he or she would prefer pepporoni?

Ok, so I know that the
probability of seniors who prefer pepperoni is 17:31
probability of seniors who prefer supreme is 12:31
probability of seniors who prefer cheese is 2:31

Is the answer simply 17:31 or what do I need to do to figure this out?
 

tkhunny

Moderator
Staff member
Joined
Apr 12, 2005
Messages
9,708
Is 17:31 a probability?

I'm a little uncomfortable with this problem statement unless we know that SSU has only 31 students. It's a mighty small sample.
 

aburchett

New member
Joined
Jan 19, 2011
Messages
48
This is the part that I started to try to figure out:

Ok, so I know that the
probability of seniors who prefer pepperoni is 17:31 or 17/31
probability of seniors who prefer supreme is 12:31 or 12/31
probability of seniors who prefer cheese is 2:31 or 2/31

This part is the original question:
Of 31 college seniors at Southern Swampland University, 17 preferred pepperoni, 12 preferred supreme, and 2 preferred cheese. If we picked a college senior at Southern Swampland University at random, what is the probability that he or she would prefer pepporoni?

I was just showing what I started, but then got really confused.
 

tkhunny

Moderator
Staff member
Joined
Apr 12, 2005
Messages
9,708
I would feel better if it started, "Assuming this sample is indicative of the entire senior population of SSU, if we picked a college senior..."

After that, it;s just arithmetic. Write 17:31 however you have to write it so that it answer the question. 17/31? 0.548? 54.8%? Really, whatever it takes.
 

aburchett

New member
Joined
Jan 19, 2011
Messages
48
It just states to give solution exactly in reduced fraction form.

So then I would leave it as 17/31 because it doesn't reduce.
 

tkhunny

Moderator
Staff member
Joined
Apr 12, 2005
Messages
9,708
There it is, then. Good work.
 
Top