Plaza United are playing a football match away from home - OCR - GCSE Maths - Question 8 - 2019 - Paper 1
Question 8
Plaza United are playing a football match away from home.
(a) 379 supporters are going to the match by coach.
Each coach seats 45 people.
What is the smallest numbe... show full transcript
Worked Solution & Example Answer:Plaza United are playing a football match away from home - OCR - GCSE Maths - Question 8 - 2019 - Paper 1
Step 1
What is the smallest number of coaches that will be needed?
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Answer
To find the smallest number of coaches needed, we divide the total number of supporters by the number of seats available per coach. Thus,
extNumberofcoaches=⌈45379⌉
Calculating,
45379≈8.42
Since we cannot have a fraction of a coach, we round up to get 9 coaches.
Step 2
Show calculations to support Sam's claim.
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Answer
In their last 50 matches, Plaza United have drawn 10, lost 5, and thus won:
50−(10+5)=35extmatches
The probability of winning based on these statistics is given by:
P(Win)=Total MatchesNumber of Wins=5035=0.7
This supports Sam's claim that the probability of winning is indeed 0.7.
Step 3
Give one reason why Sam's claim may not be reliable.
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Answer
One reason Sam's claim may not be reliable is that past performance does not guarantee future results. The probability calculated is based on past matches, which may not accurately reflect the current team's form, injuries, or the strength of the opposing team.
