No offense, but you guys are making this way too hard. This is directly covered by FED 4-3-1. "Alternating-possession control is established and the initial direction of the possession arrow is set toward the opponent's basket when a player secures control of the ball, as after the jump ball."
When B secures control of the ball after A's basket, you set the arrow toward Team A. The fact that control was secured as a result of the throw-in (as opposed to immediately after the jump ball) doesn't change the fact that Team B has the first possession of the game.
Don't make it harder than it has to be. Juulie nailed it.
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Any NCAA rules and interpretations in this post are relevant for men's games only!
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