Thread: tree diagram help.

hi i am puzzled with this and i know its actually or should be straight forward.
here is my question:
employees of a company fall into 4 categories:
managers 4%, adminstrators 12% Technicians 26% Labourers 58%

If 20% of the managers, 5% of the administrators, 3% of the technicians and 0.5% of the labourers have the opportunity of promotion in the next year
i. Construct a tree diagram
ii. What is the probability that a randomly chosen employee is a manager and will gain promotion next year.
Any pointers appreciated to get me started.
Thanks

Hello, ads114!

Employees of a company fall into 4 categories:
Managers 4%, Adminstrators 12%, Technicians 26%, Laborers 58%

20% of the Managers, 5% of the Administrators, 3% of the Technicians and
0.5% of the Laborers have the opportunity of promotion in the next year.

(a) Construct a tree diagram

Let represent the four categories.

Let mean "Promoted" and mean "Not promoted".

Code:

                                            20%
                                        * - - - - * P
                    4%       ---        | 
              * - - - - - - | M | - - - *
              |              ---        |   80%
              |                         * - - - - * N 
              |
              |                              5%
              |                         * - - - - * P
              |    12%       ---        | 
              * - - - - - - | A | - - - *
              |              ---        |   95%
              |                         * - - - - * N
      o - - - *
              |                              3% 
              |                         * - - - - * P
              |    26%       ---        |
              * - - - - - - | T | - - - * 
              |              ---        |   97%
              |                         * - - - - * N
              |
              |                            0.5%
              |                         * - - - - * P 
              |    58%       ---        |
              * - - - - - - | L | - - - *
                             ---        |  99.5% 
                                        * - - - - * N

many thanks again i had managed to work out the diagram myself. i knew it was quite straight forward! i shall have a look at the questions i need answered i'm assuming i now get these done via my diagram!

thankyou.

ps standby!