question about double dribble

[BillyMac]

1. A player is dribbling the ball, and then begins to pick it up. He touches the ball with both hands at the same time, but does not control it, and it bounces on the floor. He picks it up.

Legal. One can always legally pick up a fumble.

2. Instead of picking it up, he taps it to a teammate.

Legal. If it's legal to pick up the fumble, than it must also be legal to tap the fumble.

3. Instead of picking it up, he starts dribbling again.

Illegal dribble. The first dribble ended when the ball was touched with both hands.

4. Suppose he dribbles, then picks it up cleanly with two hands, and then tries to pass, but the ball slips out of his hands and bounces on the floor. He grabs the ball.

Legal. One can always legally pick up a fumble.