Mar 27, 2025
10:23:13pm
COUGZ Bernard4Heisman
ChatGPT telling us all how are of a shooting game we just saw... it's incredible and depressing. 1 in 167 game or .6%
Now...mind you, Alabama is a mediocre 3 point shooting team at #75 overall in America.

So here is what ChatGPT says about the record we just saw:
what are the odds a team shoots 25/51 from the 3 point line in a college basketball game?


ChatGPT said:
Shooting 25/51 from the 3-point line in a college basketball game is extremely rare. Let's break it down statistically:

🔢 Basic Stats
25 made / 51 attempted = 49.0% 3-point percentage

NCAA average 3PT%: ~33% (varies by team, but this is close to the D1 average)

🧠 Estimating the Probability
We can model this with a binomial distribution:

n = 51 attempts

p = 0.33 (average make rate)

k = 25 makes

Using the binomial probability formula or a normal approximation, we can estimate the chance a team shoots ≥25/51 given the average rate.

📉 Normal Approximation
Mean (μ) = np = 51 * 0.33 ≈ 16.83

Standard deviation (σ) = √(np(1−p)) ≈ √(51 × 0.33 × 0.67) ≈ 3.3

Z-score for 25:

𝑍
=
25

16.83
3.3

2.48
Z=
3.3
25−16.83

≈2.48
A Z-score of 2.48 corresponds to a probability of ≈ 0.66% (or 0.0066) of a team shooting 25 or more threes in a game, assuming a 33% average.

🎯 If the team is elite from 3...
If a team shoots 40% regularly:

μ = 51 × 0.40 = 20.4, σ ≈ 3.5

Z = (25 − 20.4) / 3.5 ≈ 1.31

Probability of Z ≥ 1.31 ≈ 9.5%

Still not common — only about 1 in 10 games at best for a very good shooting team.

🔚 Conclusion
If average team: ~0.6% chance (~1 in 167 games)

If elite 3PT team: ~9.5% chance (~1 in 10 games)

Shooting 25/51 from 3 is an outlier, a rare hot night — even for a great team.
COUGZ
Bio page
COUGZ
Joined
Oct 6, 2001
Last login
Apr 3, 2025
Total posts
21,613 (1,475 FO)
Messages
Author
Time

Posting on CougarBoard

In order to post, you will need to either sign up or log in.