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at a small company, 4040 percent of the employees are classified as junior level, and 3232 percent of the employees work in department a. of those classified as junior level, 5555 percent work in department a. one employee will be selected at random. what is the probability that the selected employee works in department a and is not classified as junior level?



Answer :

The probability that the selected employee works in department A and is not classified as junior level is; 10% or 0.1

How to find the probability of selection?

Percentage of employees that are junior level; J= 40%

Percentage of junior level employees working in department a; A∩J = 55%J

Percentage of employees that work in department a;A = 32%

The percentage of the employees that are junior level and is in department A;

A∩J = 55% of J

= 55% * 40%

= 0.55 × 40%

= 22%

A∩J = 22%

The percentage of the employees that are in department A but not junior level is;

A∩J' = A - A∩J

= 32% - 22%

= 10%

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