I'm just wondering, in the last sentence of the third paragraph, why can X not be larger than 6? Is that because the number of innings is 9? I'm really confused, I thought X goes from 3,4,5,6,...to infinity?
2026-02-23 23:59:38.1771891178
Quick question about the definition of a random variable in a baseball pitches example
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Each pitch results in either a ball or a strike. If you get to three strikes you are out. If you get to four balls then you walk. If you have thrown five pitches and have neither struck out nor walked then you must have three balls and two strikes. On the next pitch you either get a ball in which case you have four balls and you walk or you get a strike in which case you have three strikes and you are out.
The batter is either out or has walked by the sixth pitch.