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it's just what is in the rule book.
a player is awarded 1 shot per multiple foul on a made or missed 2 point basket. a player is awarded one foul shot per mulitple foul on a made 3 point basket and 2 foul shots per multiple foul on a missed 3 point basket. so basically...you want to miss the shot because you can only score 8 points if you make the 3 pointer, but if you miss you can score up to 10 points. So when in the situation...tell your players to miss the shot. |
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So a shooter tries a 3 and is fouled by 5 opponents simultaneously.
Missed: 0 points + possible 10 points [5 opponents * 2 shots/opponent] = 10 points maximum Made: 3 points + possible 5 points [5 opponents * 1 shots/opponent] = 8 points maximum Now, take into FTA% and 3FGA%. Most people shoot around 75% from the stripe. So, in case [missed], 0 + 10 * 0.75 = 7.5 points on average; and in [made], 3FGA% ~ 30% (agree?), which is 0.3* 3 + 5 * 0.75 = 0.9 + 3.75 = 4.65 points on average. However, it comes down to a comparison between one's %ages. Let x = % of FT Let y = % of 3FG [missed] 10x [made] 5x + 3y Break it down: 10x = 5x + 3y 5x = 3y x = 3/5 y if x > 3/5 y, then [missed] is better if x < 3/5 y, then [made] is better if x = 3/5 y, it is a wash QED Edit: change the formula in italics. My excuse was that I was trying to leave work...
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Pope Francis Last edited by JugglingReferee; Fri Mar 09, 2007 at 07:55pm. |
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