Photo AI

60 people were asked if they prefer to go on holiday in Britain or in Spain or in Italy - Edexcel - GCSE Maths - Question 9 - 2018 - Paper 2

Question icon

Question 9

60-people-were-asked-if-they-prefer-to-go-on-holiday-in-Britain-or-in-Spain-or-in-Italy-Edexcel-GCSE Maths-Question 9-2018-Paper 2.png

60 people were asked if they prefer to go on holiday in Britain or in Spain or in Italy. 38 of the people were male. 11 of the 32 people who said Britain were femal... show full transcript

Worked Solution & Example Answer:60 people were asked if they prefer to go on holiday in Britain or in Spain or in Italy - Edexcel - GCSE Maths - Question 9 - 2018 - Paper 2

Step 1

Calculate the total number of females

96%

114 rated

Answer

From the given information, there are 60 people surveyed in total.

Out of these, 38 are male, which means the number of females can be calculated as:

extTotalFemales=extTotalPeopleextTotalMales=6038=22 ext{Total Females} = ext{Total People} - ext{Total Males} = 60 - 38 = 22

Step 2

Identify females who said Britain

99%

104 rated

Answer

It is stated that 11 of the 32 people who said Britain are female. Therefore, the number of females who said Britain is:

extFemaleswhosaidBritain=11 ext{Females who said Britain} = 11

Step 3

Calculate females who said Spain

96%

101 rated

Answer

To find the number of females who said Spain, we need to know the total females and those who said Britain and Italy. We are informed that 12 people said Spain and the rest of the males did not say Italy.

Let’s assume that males who said Italy do not affect the female percentage. Thus, total females who said Spain can be calculated by:

extFemaleswhosaidSpain=extTotalFemalesextFemaleswhosaidBritainextFemaleswhosaidItaly=2211ext(unknownfemaleswhosaidItaly) ext{Females who said Spain} = ext{Total Females} - ext{Females who said Britain} - ext{Females who said Italy} = 22 - 11 - ext{(unknown females who said Italy)}

Step 4

Calculate probability that a female said Spain

98%

120 rated

Answer

The probability that a randomly chosen female said Spain can be calculated as:

P(extFemalesaidSpain)=extNumberoffemaleswhosaidSpainextTotalnumberoffemales=extFemaleswhosaidSpain22P( ext{Female said Spain}) = \frac{ ext{Number of females who said Spain}}{ ext{Total number of females}} = \frac{ ext{Females who said Spain}}{22}

The exact calculation would depend on knowing how many females said Italy, but with the current information, we cannot compute the final answer without additional data.

Join the GCSE students using SimpleStudy...

97% of Students

Report Improved Results

98% of Students

Recommend to friends

100,000+

Students Supported

1 Million+

Questions answered

;