You work for a large global management consulting company. Of the entire work force of analysts, 55% have had no experience in the telecommunications industry, 32% have had limited experience (less than 5 years), and the rest have had extensive experience (5 years or more). On a recent project, you and two other analysts were chosen at random to constitute a team. It turns out that part of the project involves telecommunications. What is the probability that the first teammate you meet has:

a) Extensive telecommunications experience?

b) Some telecommunications experience?

c) No more than limited telecommunications experience?

a) 13% probability that the first teammate you meet has entensive telecommunications experience.

b) 45% probability that the first teammate you meet has some telecommunications experience.

c) 87% probability that the first teammate you meet has no more than limited telecommunications experience.

Step-by-step explanation:

We have that:

55% have had no experience in the telecommunications industry.

32% have had limited experience

The rest is 100 - (55+32) = 100 - 87 = 13%. So 13% have had extensive experience.

a) Extensive telecommunications experience?

13% probability that the first teammate you meet has entensive telecommunications experience.

b) Some telecommunications experience?

Either limited or extensive experience

32+13 = 45%

45% probability that the first teammate you meet has some telecommunications experience.

c) No more than limited telecommunications experience?

No experience or limited experience.

So

55+32 = 87%

87% probability that the first teammate you meet has no more than limited telecommunications experience.