SOLUTION: A firm has 550 employees; 380 of them have had at least some college education, and 412 of the employees underwent a vocational training program. Furthermore, 357 employees both a

Algebra ->  Probability-and-statistics -> SOLUTION: A firm has 550 employees; 380 of them have had at least some college education, and 412 of the employees underwent a vocational training program. Furthermore, 357 employees both a      Log On


   



Question 1185951: A firm has 550 employees; 380 of them have had at least some college education, and 412
of the employees underwent a vocational training program. Furthermore, 357 employees both are
college-educated and have had the vocational training. If an employee is chosen at random, what is
the probability that he or she is
college-educated or has had the training or both?

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
A firm has 550 employees; 380 of them have had at least some college education, and 412
of the employees underwent a vocational training program. Furthermore, 357 employees both are
college-educated and have had the vocational training. If an employee is chosen at random, what is
the probability that he or she is
college-educated or has had the training or both?
~~~~~~~~~~~~~~~~~~~~~~~~~

            It is how to solve such problems:


Use the formula of addition for probabilities


    P(he or she is college-educated or has had the training or both) = 

       = 380%2F550 + 412%2F550 - 367%2F550 = %28380%2B412-367%29%2F550 = 425%2F550 = 17%2F22.    ANSWER

Solved.