Question

Consider the n-gon and triangles from the previous question now with $n \ge 4$. Suppose you select 3 corners of the polygon at random. What is the probability that the triangle formed does not share any sides with the n-gon sides. For example, this red triangle does not share any sides in common with the octagon. Again you should assume the corners of the n-gon are distinguishable. Briefly explain your answer. State your answer and briefly show your work.

          Consider the n-gon and triangles from the previous question now with $n \ge 4$.
Suppose you select 3 corners of the polygon at random.
What is the probability that the triangle formed does not share any sides with the
n-gon sides.
For example, this red triangle does not share any sides in common with the
octagon. Again you should assume the corners of the n-gon are distinguishable.
Briefly explain your answer.
State your answer and briefly show your work.

Consider the n-gon and triangles from the previous question now with n ≥ 4.
Suppose you select 3 corners of the polygon at random.
What is the probability that the triangle formed does not share any sides with the
n-gon sides.
For example, this red triangle does not share any sides in common with the
octagon. Again you should assume the corners of the n-gon are distinguishable.
Briefly explain your answer.
State your answer and briefly show your work.

Added by Daniel G.

Computer Science and Information Technology

Trishna Knowledge Systems 2018 Edition

Instant Answer

Solved by Expert Donna Densmore

03/28/2023

Step 1

This can be calculated using the combination formula, which is nC3 = n! / (3!(n-3)!). Show more…

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Consider the n-gon and triangles from the previous question now with n > 4 Suppose you select 3 corners of the polygon at random. What is the probability that the triangle formed does not share any sides with the n-gon sides. For example, this red triangle does not share any sides in common with the octagon. Again you should assume the corners of the n-gon are distinguishable Briefly explain your answer. a State your answer and briefly show your work.