Question 1: Runners on second(R2) and third(R3). Two outs. Batter(BR) is being given an intentional walk. During the intentional walk BR strides into an outside pitch and hits the ball foul with one foot on the ground totally outside the batters box.
WHAT'S THE CALL?
BR is out. Dead ball.
Explanation: A batter is out for illegal action when--he hits the ball with one or both feet on the ground entirely outside the batters box.
6.06(a)

Question 2: Batter(BR) hits a fair fly ball into deep right field over the right fielders(F9) head. F9 throws his glove at the ball and hits it. F9 gets to the ball and relays to third were the third baseman(F5) tags the BR out.
WHAT'S THE CALL?
Dead Ball. Batter is awarded 3rd base. No outs are recorded.
Explanation: Each runner including the batter-runner may, without liability to be put out, advance three bases, if a fielder deliberately throws his glove at and touches a fair ball.
7.05(c)

Question 3: Count 0-2. Batter(BR) swings and misses at an inside pitch that also hits BR on the arm.
WHAT'S THE CALL?
Dead ball. BR is out. Strike out.
Explanation: A Strike is a legal pitch when so called by the umpire which -- Touches the batter as he strikes at it.
2.00 Strike Definition.
6.05(f)

Question 4: Batter(BR) hits a ground ball that strikes the pitching plate(rubber)and bounces foul. The ball is first touched by the catcher(F2) in foul territory. F2 picks up the ball and throws it to the first baseman(F3) and beats the BR in a close play.
WHAT'S THE CALL?
Dead ball. Foul ball. BR resumes his at bat.
Explanation: A foul ball is a batted ball that settles in foul territory between home and 1st or home and 3rd.
2.00 Foul Ball Definition.

Question 5: A right handed batter(BR) has a count of 1 ball and 2 strikes (1-2). While the pitcher is in his motion to the plate the BR quickly moves to the other batter's box where he hits a clean single to right field.
WHAT'S THE CALL?
Dead ball. BR is out.
Explanation: BR is out for illegal action when - He steps from one batter's box to the other while the pitcher is in position ready to pitch.
6.06(b)

Question 6: Runner on 1st(R1). Pitcher(F1) is on the rubber getting his signs from the catcher. F1 accidentally drops the ball.
WHAT'S THE CALL?
Dead ball. BALK. R1 goes to 2nd.
Explanation: This is a technical Balk.
8.05(k)

Question 7: Runners on 3rd(R3) and 1st(R1) Infield is playing at normal depth. Batter(BR) hits a ground ball to 2nd baseman(F4). Before F4 has a chance to make a play the ball strikes R1. R3 scores on the play.
WHAT'S THE CALL?
Dead ball. R1 is out. R3 is returned to 3rd. BR to 1B.
Explanation: Any runner is out if he is touched by a fair ball before the ball has touched or passes an infielder. No runners can score or advance.
7.08(f)

Question 8: No base runners. Batter(BR) has a count of 3-1. Pitcher delivers a ball that bounces before the plate, batter takes the pitch. The pitch strikes the catcher's shin guards and rolls into the dugout out of play.
WHAT'S THE CALL?
Dead ball. BR is given 1st for the walk.
Explanation: If a pitched ball goes out of play. Each runner is awarded 1 base from the time of the pitch. By rule the BR shall be entitled to 1st base only.
7.05(i)

Question 9: Count 1-2. A batted ball strikes the batter(BR) while he is in the batter's box in foul territory and rolls fair.
WHAT'S THE CALL?
Dead ball. Foul ball. BR continues his at bat.
Explanation: A batted ball that strikes the BR while he is in foul territory is a foul ball.
2.00 Foul Ball definition.

Question 10: Runners on 2nd(R2) and 1st(R1). No outs. Batter(BR) pops the ball towards 2nd base that the 2nd baseman can catch with ordinary effort. The pop fly strikes R2 who is standing on 2nd base and drops to the ground.
WHAT'S THE CALL?
Dead Ball. Infield Fly Rule. BR is out.
Explanation: This is an Infield Fly Rule situation. By rule EXCEPTION R2 is not out.
2.00 Infield Fly Rule Definition.
7.08(f)EXCEPTION
N.A.P.B.L. Umpire Manual 4.7 which states:
4.7 INFIELD FLY HITS RUNNER ON BASE
If a runner is touching his base when touched by an infield fly, he is not out, although the batter is out. Further, if the infield fly touches him while on base in fair-territory before passing an infielder, the ball is dead and no runners may advance.