Statistics, probability, basketball foul shots

Click For Summary
SUMMARY

The probability of at least 8 out of 10 basketball players successfully making foul shots, given a success rate of 72%, can be calculated using the binomial distribution. The relevant formula involves summing the probabilities of exactly 8, 9, and 10 successful shots. The calculations yield a probability of approximately 1.944, indicating a high likelihood of success among the players during practice.

PREREQUISITES
  • Understanding of binomial distribution
  • Familiarity with probability concepts
  • Basic knowledge of statistical calculations
  • Ability to apply mathematical formulas
NEXT STEPS
  • Learn how to calculate probabilities using the binomial distribution
  • Explore the concept of 'AND' probabilities in statistics
  • Study the application of probability in sports analytics
  • Investigate the impact of sample size on probability outcomes
USEFUL FOR

Students studying statistics, basketball coaches analyzing player performance, and anyone interested in applying probability theory to real-world scenarios.

Calculator14
Messages
23
Reaction score
0

Homework Statement



Records show that 72% of basketball foul shots attempted are successfully made during practice. Today, each of the 10 members of the team gets a practice shot. What is the probability that at least 8 team members make the shot successfully?

Homework Equations



(answer posted below)

The Attempt at a Solution



(8/10 * .72) + (9/10 * .72) + (10/10 * .72) = 1.944
 
Physics news on Phys.org
Try using the binomial distribution.
 
Consider the rule for figuring 'AND' probabilities.

For example, what is the probability that two coin flips in a row will both be tails?

0.5 X 0.5 = 0.25 = 25%.

So there is also a 25% chance both will be tails.

Since all the probabilities must add to 100%, the chance of one flip being heads and the other tails is 50%.
 

Similar threads

  • · Replies 2 ·
Replies
2
Views
2K
  • · Replies 6 ·
Replies
6
Views
2K
Replies
11
Views
3K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K
  • · Replies 7 ·
Replies
7
Views
2K
Replies
3
Views
2K
Replies
1
Views
2K
Replies
6
Views
2K
  • · Replies 12 ·
Replies
12
Views
4K