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Probability Estimation of Group Victory

Assignment Brief

The Lionesses at World Cup 2019 Misty Moo is the figurehead of a global think tank, who want you to use the data that they provide to estimate the probability of England’s football team – the Lionesses – winning their group at the Women’s World Cup 2019. England have been drawn alongside Japan, Argentina and Scotland, and their record in qualifying (a run of previous games in the build-up to the world cup) is detailed in table 1, with the full list of group fixtures shown in table 2.

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Sample Answer

The Lionesses at World Cup 2019: Probability Estimation of Group Victory

Introduction

The 2019 FIFA Women’s World Cup presented a significant test for the England national team, known as the Lionesses. Led by manager Phil Neville, the team faced Japan, Argentina, and Scotland in Group D. Misty Moo’s think tank tasked the analysis of the probability of England topping their group using available match data. This evaluation considers past performance in qualifying matches, relative team strengths, and statistical likelihoods, offering an evidence-based conclusion on England’s chances of group-stage success.

Discussion and Analysis

To estimate England’s probability of winning the group, it is essential to evaluate both historical performance and comparative team analysis. During the World Cup qualifying campaign, England demonstrated consistency, winning the majority of their matches with strong defensive and attacking balance. Based on their qualifying data, England averaged 2.5 goals per match while conceding fewer than 0.5, indicating dominant control over opponents.

Their key rivals in Group D were Japan, Argentina, and Scotland. Historically, Japan had reached the 2011 final and maintained a technical, possession-based style. However, their form entering 2019 was inconsistent, especially against physically stronger European teams. Argentina, ranked significantly lower, lacked competitive experience and infrastructure support, resulting in minimal threat statistically. Scotland, while improving, were World Cup debutants and less experienced at the highest level.

By converting England’s qualifying performance into probability metrics, the estimation can be approached through a weighted points expectation model. England’s probability of winning each group match was estimated as follows:

  • Vs Scotland: 0.75 (based on higher FIFA ranking and win history)

  • Vs Argentina: 0.90 (based on Argentina’s lower goal average)

  • Vs Japan: 0.55 (reflecting a closer matchup but favourable form)

Combining these probabilities gives an overall likelihood of England securing at least 7 points (two wins and one draw) at approximately 68%, which statistically correlates with a high probability of topping the group. Considering tie-breakers such as goal difference, England’s strong scoring margin in qualifying further supported their advantage.

The qualitative aspect reinforces the quantitative data. England entered the tournament with a balanced squad featuring key players like Lucy Bronze, Ellen White, and Steph Houghton, who provided both leadership and tactical discipline. Their tactical flexibility and experience in international competitions enhanced their group-winning probability.

It was estimated using past match performance, goal averages, and FIFA rankings to create a weighted probability model.

Because both had competitive squads with tactical discipline, making them the main threats to England’s group leadership.

Yes. England topped their group in 2019, which aligned with the probability estimation model.

Team experience, strong defence, consistent goal scoring, and tactical management under Phil Neville.

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