Yes, this has happened enough to have a specific rule about it. If the bat strikes the catcher or his equipment (almost always his glove) while the batter is swinging, the umpire calls catcher interference and the batter takes first base.
The catcher throws to thr pitcher or if he misses the ball he throws it first to get tjr batter out because if if the batter strikes out and the catcher misses the ball the runner can run.
If the catcher catches the tip the batter is out. If the catcher does not catch the tip, it counts as a foul ball and the batter continues at bat.
If the bat strikes the catcher's mitt, the rule is catcher's interference. The batter gains first.
It means when the pitcher gets the batter out himself by throwing 3 strikes, either by the batter swinging and missing, or by the ball being in the strike zone and the batter not swigning
The batter swinging the bat.
Five, a total of three balls and two strikes. The next pitch will either walk her, or put her out.
The batter can foul as often as necessary, unless there are 2 strikes and the batter bunts foul. That becomes a third strike and the batter is out. Also if there are two strikes and the batter foul-tips the ball into the catcher's mitt, that's also strike 3 and the batter is out.
A foul tip is considered to be when the batter swings and the bat barely touches, or tips, the ball. The ball goes straight back into the catcher's mitt. A fly ball is when the batter makes contact and the ball goes up into the air for a significant distance. If a catcher catches a foul tip with less than two strikes the play is simply considered a strike and not an out. But if the catcher catches a foul tip when the batter has two strikes, the batter is scored to have struckout.