Not definitively. Nothing rules out one player scoring 80 by himself.
Hi,
I'm having a difficult time figuring out an approach to a problem and could use some help -- if I have a team of 5 basketball players, each with their own probability of scoring at least a certain number of points, what's the probability of the team scoring at least a certain number of points. For example:
Player A: 25% chance of scoring at least 20 points
Player B: 15% chance of scoring at least 15 points
Player C: 40% chance of scoring at least 10 points
Player D: 20% chance of scoring at least 25 points
Player E: 10% chance of scoring at least 30 points
What's the probability that the team of 5 players scores at least 80 points?
I'm lost as to an approach to this problem. Can it be answered just using the information I've provided? In addition to this, I also have curves for each player that shows their probability of scoring at least n points.
Thanks in advance and let me know if I need to clarify!
Not definitively. Nothing rules out one player scoring 80 by himself.
All things are known because we want to believe in them.
Thanks for the response. Not sure if this helps, but alternately I also have the percent chance each player reaches specific point totals. For example, for Player A:
10 points: 4.3%
11 points: 4.5%
12 points: 4.9%
13 points: 5.2%
etc...
Given that for all 5 players, there isn't a way to in some way add up the probability of all possible permutations of outcomes for all 5 players to give the probability that the team exceeds a certain points total?
Yes - brute force. You would basically look at all possible combinations for the 5 players and then figure out the score and probability associated with those combinations.
An alternative if a 100% perfectly accurate analytic solution isn't required is just to simulate the process.
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