If we take a .330 hitter against a poor pitcher, making them a .450 hitter, the odds of a hit in one game are roughly (1 - (1 - .450)^4), or (1 - 0.0915), or 0.9085.
The odds of a 10 game streak (with this math) are then P^10, or .383.
20 game: .145
30 game: .056
40 game: .022
50 game: .0082
57 game: .0042
So that's a 0.4% chance of starting with a SPECIFIC game, getting 57 in a row. Since, however, you have (162 - 57) 105 chances to start the streak, the odds are (1 - (1 - P)^105), or 35.7%.
So clearly, even a good hitter going up against a poor pitcher does not effect the average very much, because 35.7% of people certainly don't get the 57-game streak.
Edit: I'm sure I goofed up the math somewhere, as my odds are way too high. Someone please correct me.
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Last edited by RPI-Fan : 06-21-2005 at 01:24 PM.
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