Question: Eleven chairs are numbered 1 through 11. Four girls and seven boys sit on these chairs at random. What is the probability that chair 5 is occupied by a boy?
“Eleven chairs are numbered 1 through 11. Four girls and seven boys”- is a topic of the GMAT Quantitative reasoning section of GMAT. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills. The GMAT Quant topic in the problem-solving part requires calculative mathematical problems that should be solved with proper mathematical knowledge.
Solution and Explanation:
Approach Solution 1:
The total number of ways to seat them is 11!
So, simplifying, the probably a guy sits in seat 5 is
7∗10/11= 7∗(10∗9∗8∗...∗2∗1)/11∗(10∗9∗8∗...∗2∗1)= 7/11
Correct Answer: E
Suggested GMAT Problem Solving Questions
*The article might have information for the previous academic years, please refer the official website of the exam.