emfresh
if team A has probability of winning a game against Team B, find the probability that team A wins.
a. (after 5 games). B. (after 6 games). C. (after 7 games). D (after 8 games).
e. find the probability that A wins the series.
F. find the probability that B wins the series
Answer
First note that the competition is best of 7 games as by then one of the teams has won four games so answer for part (d) is 0.
Let the probability that team A wins any individual game be p.
The probability that A wins 4 - 0 is p^4
Now consider that A wins 4 - 3. The first six games must be 3 - 3 in any order and then A wins the seventh game. The probability for this is
6C3*(p^3)*(1 - p)^4 * p = 20*(p^4)*(1 - p)^3
Can you do team A winning 4 - 1 and 4 - 2 in a similar way and sum the probabilities to finish part (e) ?
(f) P(B wins series) = 1 - P(A wins series)
First note that the competition is best of 7 games as by then one of the teams has won four games so answer for part (d) is 0.
Let the probability that team A wins any individual game be p.
The probability that A wins 4 - 0 is p^4
Now consider that A wins 4 - 3. The first six games must be 3 - 3 in any order and then A wins the seventh game. The probability for this is
6C3*(p^3)*(1 - p)^4 * p = 20*(p^4)*(1 - p)^3
Can you do team A winning 4 - 1 and 4 - 2 in a similar way and sum the probabilities to finish part (e) ?
(f) P(B wins series) = 1 - P(A wins series)
Should baseball games be 1.5 hours like Part 2 of Game 5 in the World Series?
superjew81
Just 3 innings of baseball erases most of the boring pitching switch delays and the batting delays and any other delay. Baseball is a very slow sports, so to make the game shorter would make it more interesting. I see the final game of the World Series as a prototype.
Answer
Baseball is fine with no time limit. TV has caused al ot of problems. At a Cardinals Sunday game this year they could not start the game because ESPN was still giving the starting line ups. Mike Shannon said the umpire was standing with his hand on his hips glaring ast the pressbox for the signal to start the game. Also they has to have at least 2 minutes between innings. It doesn't take that lose to changes positions and have the pitcher take his warm up throws. Its TV having to get in commercials. Also a lot of batters do not even leave the on deck circle until their name is announced. They should be on their way to the plate as soon as the previous play is over with, These a re just a few things that need to be changed to speed up the game.
Baseball is fine with no time limit. TV has caused al ot of problems. At a Cardinals Sunday game this year they could not start the game because ESPN was still giving the starting line ups. Mike Shannon said the umpire was standing with his hand on his hips glaring ast the pressbox for the signal to start the game. Also they has to have at least 2 minutes between innings. It doesn't take that lose to changes positions and have the pitcher take his warm up throws. Its TV having to get in commercials. Also a lot of batters do not even leave the on deck circle until their name is announced. They should be on their way to the plate as soon as the previous play is over with, These a re just a few things that need to be changed to speed up the game.
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