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25 Mar 2025, 05:05
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X: The home team scores the first goal.
Y: The team opposing the home team scores at least one goal.
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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33% (00:09) correct
67%
(03:44)
wrong
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A statistician reached the following conclusions about games between university soccer teams: Overall, a team playing on its home field has a 45% chance of a win, a 25% chance of a loss, and a 30% chance of a draw (a tied outcome). In the games where one or more goals are scored, the team that scores the first goal has a 55% chance of scoring it in the game's first half and a 45% chance of scoring it later in the game. When that team is the home team (i.e., a team playing on its home field), there is a 40% chance that the other team will score no goals at all, and therefore a 60% chance that it will score one or more goals.
Select for X and for Y two different outcomes such that the information provided explicitly includes the statistician's estimates of the probability that if X occurs, so will Y. Make only two selections, one in each column.
Select for X and for Y two different outcomes such that the information provided explicitly includes the statistician's estimates of the probability that if X occurs, so will Y. Make only two selections, one in each column.
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| X | Y | |
| The home team scores at least two goals in the game. | ||
| The home team scores the first goal. | ||
| A goal is scored in the first half of the game. | ||
| A goal is scored in the second half of the game. | ||
| The team opposing the home team scores at least one goal. |
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Official Answer
X: The home team scores the first goal.
Y: The team opposing the home team scores at least one goal.
25 Mar 2025, 06:19
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Ziniya
This question is discussed in detail here: a-statistician-reached-the-following-conclusions-about-games-between-426705.html Hope it helps.
Archived Topic
Hi there,
This topic has been closed and archived due to inactivity or violation of community quality standards. No more replies are possible here.
Where to now? Join ongoing discussions on thousands of quality questions in our Two-part Analysis (TPA) Forum
Still interested in this question? Check out the "Best Topics" block above for a better discussion on this exact question, as well as several more related questions.
Thank you for understanding, and happy exploring!
