Free Practice Question
PS · Problem Solving
sub-505
Combinations
In a department, there are eight men and four women. If two of these twelve employees are chosen at random to serve as representatives, what is the probability that both selected representatives will be women?
Answer Choices
Correct answer marked belowA
1/5
B
1/6
C
1/9
1/11
Correct
E
1/33
See the full step-by-step explanation
You can see the correct answer above. Sign in for free to unlock the complete worked solution.
Track your performance and improve
Get detailed analytics, unlock full explanations, and move up difficulty tiers as you practice.
Explanation
Preview
Official Explanation
Official
4/12 * 3/11 = 12/(12*11) = 1/11
Read the full explanation
Sign in for free to see the complete step-by-step solution to this question.
Comments
2
Sign in to join the discussion
N
NgaOct 25, 2024
Thank you very much!
A
AnjolaFeb 12, 2024
Great!
What this question tests
What it tests
Whether you can count arrangements and selections correctly — permutations vs. combinations.
Common trap
Overcounting: treating a selection as ordered when order does not matter, or forgetting to divide by duplicates.
Details
Difficulty
sub-505
Type
PS
Category