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QuestionThere are 150 new employees at a tech company. Each group A,B,C,D,EA, B, C, D, E has 30 employees. Find P(C)=P(C)= probability of choosing an employee from group CC.

Studdy Solution

STEP 1

Assumptions1. The total number of new employees is150. . Each orientation group (A, B, C, D, and) has30 new employees.
3. The selection of an employee is random.

STEP 2

First, we need to identify the number of new employees in the sample space. The sample space is the total number of possible outcomes, which in this case is the total number of new employees.
Sample space=Total number of new employeesSample\, space = Total\, number\, of\, new\, employees

STEP 3

Now, plug in the given value for the total number of new employees to calculate the sample space.
Sample space=150Sample\, space =150

STEP 4

Next, we need to identify the number of new employees in each event. An event in this case is the selection of an employee from a specific orientation group. Since each group has30 new employees, the number of employees in each event is30.
Number of employees in each event=30Number\, of\, employees\, in\, each\, event =30

STEP 5

Finally, we need to calculate the probability of choosing a new employee that has been assigned to orientation group C. The probability of an event is the number of ways that event can occur divided by the total number of possible outcomes.
(C)=Number of employees in group CTotal number of new employees(C) = \frac{Number\, of\, employees\, in\, group\, C}{Total\, number\, of\, new\, employees}

STEP 6

Now, plug in the given values for the number of employees in group C and the total number of new employees to calculate the probability.
(C)=30150(C) = \frac{30}{150}

STEP 7

Calculate the probability.
(C)=30150=0.2(C) = \frac{30}{150} =0.2So, the probability that you choose a new employee that has been assigned to orientation group C is0.2.

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