No. Walks do not count toward batting average. If you get a walk in your first at bat, you will still be 0-0.
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Walks are not counted in figuring out Batting Averages. It's basically like you didn't take an at- bat for walks.
For batters that had at least 10 plate appearances against Palmer, that was Fran Healy who went 5 for 8 with 4 walks for a .625 batting average. For batters that had at least 20 plate appearances against Palmer, that was Al Oliver who went 11 for 23 for a .478 batting average. For batters that had at least 50 plate appearances against Palmer, that was Doug Griffin who went 17 for 47 with 6 walks for a .362 batting average. For batters that had at least 100 plate appearances against Palmer, that was Rod Carew who when 34 for 95 with 10 walks for a .358 batting average.
Only in one season, 1887. Walks counted as an at bat and a hit. The three highest batting averages in MLB history were recorded during the 1887 season. Tip O'Neill - .485 Pete Browning - .457 Bob Caruthers - .456 All three of the players above played in the American Association. The highest batting average in the National League in 1887 was Cap Anson at .421. Calculating the batting averages of the four players above using today's standards: Tip O'Neill - .435 Pete Browning - .402 Bob Caruthers - .357 Cap Anson - .347
Batters with at least 30 at bats; Dick Allen had the highest batting average, in 44 at bats Allen had a .364 batting average. George Brett had the most hits off Ryan with 29, in 101 at bats for a .287 average. Rod Carew had the highest batting average of batters with at least 90 at bats with a .301 batting average in 93 ABs.
The San Francisco Giants slugger hit four home runs in 17 at bats during the 2002 World Series against the Anaheim Angels. He also had a .471 batting average with six runs batted in and 13 walks.