Is this legal? A1 and B1 are fumbling the ball and neither have possession. B1 loses her balance and moves away from the ball inbounds. A1 falls out of bounds and then steps back in and grabs the ball off the floor. Can you direct me to where it is in the rule/case book? Thanks!

This is one of the biggest myths around
 

If you look through the posts from last season, this topic was beat to death. But I'll resurrect it.

7-1-2
The ball is out of bounds when it touches:

a. A player who is out of bounds.
b. Any other person, the floor, or any object on or outside a boundary.
c. The supports or back of the backboard.
d. The ceiling, overhead equipment or supports.

In your play, A1 does not touch the ball when he is OOB and does not have player control. It's a simple as that. If you don't believe me, here are two similiar sace book plays. ;)

7.1.1B.
A1 blocks a pass near the end line. The ball falls to the floor inbounds, but A1, who is off balance, steps off the court. A1 returns inbounds, secures control of the ball and dribbles.
Ruling: Legal. A1 did not leave the court voluntarily and did not have control of the ball when he/she did. This situation is similar to one in which A1 makes a try from under the basket and momentum carries A1 off the court. If the try is unsuccessful, A1 may come back onto the court and regain control since A1 did not leave the court voluntarily and did not have control of the ball when he/she did.

7.1.1C
A1 blocks a pass near the sideline and the ball goes into A1's front court. A1's momentum carries him/her out of bounds. He/she immediately returns inbounds, secures control of the ball, dribbles, shoots, and scores.
Ruling: Legal. (4-35-1A; 7-1-2; 9-3)

Re: This is one of the biggest myths around
 

While you're resurrecting.... All of these discussion seem to include "does not have player control" in the response. What about: A1 is dribbling near the sideline, and when altering direction to avoid a defender, loses his/her balance and steps OOB. A1 does not touch the ball while OOB, and allows it to bounce twice before continuing the dribble. (Rare in HS but common in MS.) Legal?

Re: Re: This is one of the biggest myths around
 

Are you describing an "interrupted dribble?" If so (and it sounds like it), there's no player control and no violation.

If this is still a "normal" dribble, then this is a violation -- even if the player does not touch OOB and the ball at teh same time.

Interrupted Dribble
 

An interrupted dribble is a loose ball caused by deflecting off the dribbler or after it "gets away from the dribbler." (4-15-5) The question becomes if the dribbler loses their balance and "abandons" the ball for an extra bounce, is that an interrupted dribble? If the ball is bouncing in place, did it "get away"?

I consder that an OOB violation. The ball didn't get away from the dribbler. Of course, it should be called the moment A1 steps out, not when A1 returns to resume the dribbling.