There are two outs, with men on first and third. The one man leaves first and gets caught in a rundown. The other man steals home as a result. The first man gets tagged out, but not before the other run reaches home.  Is the run counted or not, since the one runner reached home first? That is, BEFORE the out? (In the actual play I'm thinking of, Pittsburgh vs. Atlanta, both men reached.)  Do I assume correctly if the man on first made the second (instead of third) out, that the run is counted?
121573
scenerio: runners on second and third, two outs.  Ball hit to shortstop who immediately tags out the runner going from second to third.  This happens before runner gets to first and before runner from third scores. Would the run count since the last out was not a force but a tag out?
74073
Question: Players A and B play a sequence of independent games. Player A starts and throws a fair die and wins on a "six". If she fails then player B throws the same die and wins on a "six" or fails otherwise. If she fails then player A gets the die and throws again, and so on. The first player to throw a "six" wins. Find the probability that player A wins.  Here is what I have done:  A wins right away: $\dfrac{1}{6}$  A fails B wins: $\dfrac{5}{6}\times \dfrac{1}{6}$  A fails B fails A wins: $\dfrac{5}{6}\times \dfrac{5}{6}\times \dfrac{1}{6}$  Unlike another similar question which the player B can win on "five" and "six" after player A fails on the first throw, in this case, the games do not seem to have an endpoint. How should I calculate the probability that player A wins then?
34865
The laws of the game prohibit encroaching on a penalty kick whether it is an attacking player or defending player.  The keeper is supposed to remain on the line until the kick is taken but in practice this is a loose interpretation; movement off the line is common.   My question is: if another player (besides the keeper and penalty taker) has a foot on/over the line of the 18 yard box or the arc, what grounds are there for a retake or an indirect kick out?  Is it a similar loose interpretation which goes unpunished or shall it be referenced as an offside play or simply an infringement?
82732
I'm always confused by the times for which college football games are scheduled.  If a game (say, like the Oregon/Ohio State game tonight) has a start time of 6:30 PM, does that mean that the kickoff occurs, quite literally, at 6:30 PM?  Or, does this 6:30 start time signal the commencement of "pregame" procedures, such as teams running out on the field, coin toss, etc?
44517
Two players in IPL 6 (2013), Ricky Ponting and Glen Maxwell, were bought in the player auction for large sums (Ponting close to half a million and Maxwell over 1 million dollars).  Neither of these players ended up playing many games. Ponting played the first 6 and Maxwell just 3. In this case (and I'm sure many other similar examples) do the players get all of that sum, or are they paid on a pro-rata basis. For instance if they played only half the games they would get half the amount?
6114
Five bald men wearing hats go to a party, and when they arrived they put their hats in a dark closet. During the party, someone yells, “Fire!” and the men rush to the closet, grab a hat at random, and leave. What is the probability that  (a) exactly four get the right hats?  (b) all five get the wrong hat?  (c) more than one man gets the right hat?
66385
Imagine the following setup:    Player A has 6 points, including the Longest Road. Player B has 8 points with an equally long road. Player C has 9 points with a shorter road.    Now what would happen if Player C places a village, breaking Player A's road chain? At that moment Player A would have 4 points, while both Player B and Player C would have 10.   In this case, who would be declared the victor?
118539
I was asked to find a closed formula for $$\sum_{k=3}^{n}\binom{n}{k}\binom{k}{3}$$ To remove the $\sum$ if you will.  Here's my reasoning, let's say we have a football team with $n$ players. First we choose $k$ players from those $n$ to be on the starting lineup, and then we chose $3$ out of those $k$ players to play defense.  That is what $\sum_{k=3}^{n}\binom{n}{k}\binom{k}{3}$ means (I think).  Now, that is the same thing as first choosing $3$ out of the initial $n$ to play defense, and then choosing $k-3$ out of the remaining $n-3$ to be on the starting lineup, and that's $\binom{n}{3}\binom{n-3}{k-3}$, so I inferred from that:  $$\sum_{k=3}^{n}\binom{n}{k}\binom{k}{3} = \binom{n}{3}\binom{n-3}{k-3}$$ is this true?
32729
We know that in the first innings the predicted score and in the second innings the predicted winning percentage will be calculated in the WASP.   But there is only one formula for calculating both score and percentage.  V(b,w) =r(b,w) +p(b,w) V(b+1,w+1) +(1-p(b,w)))V(b+1,w)  How is this one formula enough to get two results?  This question is not related to the . I’m not asking about logical explanation here; I just want to know, what is the change that they do in the formula to get the percentage for the second innings?  Providing an example is a great thing for this type of question.
60413
Problem: Players A,B and C toss a fair coin in order, the first to throw a head wins what are their respective chances of winning?  Attempt: Let X = event that A throws a head on the first toss, and Y = event that B throws a head on first toss, similarly let Z = event that C throws a head on first toss.  Then there are eight different triple for tossing a coin.  S = {HHH, HHT, HTH, THH, HTT, THT, TTH, TTT}   where H is a head, and T is a tail.  Can anyone please help me? I don't know how to continue. Any feedback/help would be really appreciated. Thank you.
123163
If a football player A fouls player B in a manner such that they will receive a yellow card, but the referee plays the advantage rule, and subsequently player A fouls another player, can the referee give him two yellow cards, and hence a red card, one for each foul, or does player A get only the one yellow?
3967
I've read the rules for determining Wins, Losses and Saves for pitchers, and I've never been able to make heads or tails of it.  Is there an easier way to explain it?
95388
So, I know that according to MLB rules, the umpire in chief can forfeit the game if an ejected player refuses to leave the field.  Can a soccer/association football referee forfeit a match the same way?  Say a player gets red carded, and decides to stand and keep arguing. Can referee forfeit the game if he doesn't leave or does he just keep slapping the player with more red cards?
109477
I learned about the conversion safety today, where an NCAA team attempting an extra point can get a one-point safety if the kick is blocked but the defending team takes the ball into the endzone and gets tackled.  I couldn't figure out if this is the case, but I was wondering if the defending team could score one point in the same way. Suppose the kicking team attempts the extra point, which is blocked and grabbed by the defense, and they run it back - but the player with the ball fumbles it close to the endzone, and a player from the kicking team recovers it but his momentum carries him into the endzone, where he is tackled. I realize this is a very implausible situation, but would this be a way that a team could theoretically finish with a score of 1?
4710
Rules Question:     Player A attack with 1/2 creature Player B block with  with 1 +1/+1 counter And now can player B use Walking Ballista activation ability, after combat damage but before it go to graveyard, to kill 1/2 creature?
84390
In what year(s) in the NFL was the runner allowed to get up and run after being knocked off his feet, as long as they weren't tackled and held down? From memory, it only lasted 1 or 2 years because it caused lots of injuries. I think it was in the 50s but could have been in the early 60s also.
120753
Scenario: No one on base. 2 outs. Batter hits a homerun. However, while rounding the bases, completely misses stepping on second base. Now, I understand that being a home run, it's a dead ball, and the runner can run without liability. But say he misses second, touches third, hits home, and goes to the dugout. What happens in this case?