Abby, Brent, Casper, Darius, and Evan are the committee members of the Love Our Earth Club. Two of them are randomly selected to lead a project related to the environment such as cleaning a park. What is the probability that Abby is chosen first then Brent is chosen second?

Question

anonymous · Answer

I think its 1/5 for the first

anonymous · Answer

And then possibly 1/4 for the second?

anonymous · Answer

what do you think esmith

anonymous · Answer

I was thinking that if you list all of the possible ways the  two people can be chosen in order, you get these possibilites, (using their first initial of their name)
a-b
a-c
a-d
a-e
b-a
b-c
b-d
b-e
c-a
c-b
c-d
c-e
d-a
d-b
d-c
d-e
e-a
e-b
e-c
e-d

This is 20 possible ways that they can be picked in order, however only one of them is Abby, then Brent. So the probability is 1/20

anonymous · Answer

oh lol yeah that makes sense my bad didnt think that they where asking about both of them put together

anonymous · Answer

Yeah, you can still get the same answe doing it your way though too! It would just be (1/5)*(1/4)=(1/20)