Statistics, probability, basketball foul shots

AI Thread Summary
The discussion centers on calculating the probability that at least 8 out of 10 basketball players successfully make their foul shots, given a success rate of 72%. Participants suggest using the binomial distribution to find the solution, emphasizing the need to consider 'AND' probabilities. An example is provided comparing the basketball scenario to coin flips, illustrating basic probability principles. The calculation approach involves summing the probabilities of exactly 8, 9, and 10 successful shots. Understanding these probability concepts is crucial for solving the problem accurately.
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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
 
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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%.
 
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