Answer:
Step-by-step explanation:
Given : Expression =
Simplifying the expression :
Step 1. Write the expression =
Step 2. Add the similar elements:
=
Step 3. Add the similar elements:
=
Therefore, is the simplified form of
Given:
The number of male professors = 15.
The number of female professors = 9.
The number of male teaching assistants = 6.
The number of female teaching assistants = 12.
A person is selected randomly from the group.
Required:
We need to find the probability that the selected person is a professor or a male.
Explanation:
The total number of people in the group = 15+9+6+12 = 42
n(S) =The total number of people in the group
Let A be the event that the selected person is a professor or a male.
The number of people who are professors or male = 15+9+6 = 30
n(A)= The number of people who are professors or male.
Let P(A) be the probability that the selected person is a professor or a male.
Final answer:
The probability that the selected person is a professor or a male is 5/7.