SOLUTION: hey, I am stuck on this question. A "true or false" test has five questions. construct a tree diagram to list all the possible answers. is it asking me to use just these four

Algebra ->  Probability-and-statistics -> SOLUTION: hey, I am stuck on this question. A "true or false" test has five questions. construct a tree diagram to list all the possible answers. is it asking me to use just these four       Log On


   



Question 357066: hey, I am stuck on this question.
A "true or false" test has five questions. construct a tree diagram to list all the possible answers.
is it asking me to use just these four possible outcomes - TFTFT, FTFTF, TTTTT,FFFFF- or am I suppose to try and get 32 possible outcomes for the tree diagram? and if so how do I draw a tree diagram with 32 outcomes?
thanks

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Simply have a tree with 5 different levels with 2 branches per level. This will give you 2%5E5=32 possible outcomes. These outcomes are

T,T,T,T,T
T,T,T,T,F
T,T,T,F,T
T,T,T,F,F
T,T,F,T,T
T,T,F,T,F
T,T,F,F,T
T,T,F,F,F
T,F,T,T,T
T,F,T,T,F
T,F,T,F,T
T,F,T,F,F
T,F,F,T,T
T,F,F,T,F
T,F,F,F,T
T,F,F,F,F
F,T,T,T,T
F,T,T,T,F
F,T,T,F,T
F,T,T,F,F
F,T,F,T,T
F,T,F,T,F
F,T,F,F,T
F,T,F,F,F
F,F,T,T,T
F,F,T,T,F
F,F,T,F,T
F,F,T,F,F
F,F,F,T,T
F,F,F,T,F
F,F,F,F,T
F,F,F,F,F