Photo AI

Danisha is going to visit two of these places - OCR - GCSE Maths - Question 9 - 2018 - Paper 1

Question icon

Question 9

Danisha-is-going-to-visit-two-of-these-places-OCR-GCSE Maths-Question 9-2018-Paper 1.png

Danisha is going to visit two of these places. London Eye (LE) Buckingham Palace (BP) Tower of London (TL) British Museum (BM) (a) List all the combinations of ... show full transcript

Worked Solution & Example Answer:Danisha is going to visit two of these places - OCR - GCSE Maths - Question 9 - 2018 - Paper 1

Step 1

List all the combinations of these places that she can visit.

96%

114 rated

Answer

To find all the combinations of places that Danisha can visit, we will select pairs of the four locations available. The possible combinations are:

  • LE, BP
  • LE, TL
  • LE, BM
  • BP, TL
  • BP, BM
  • TL, BM

This gives us a total of 6 combinations. The table can be filled as follows:

LEBP
LETL
LEBM
BPTL
BPBM
TLBM

Step 2

What fraction of the combinations include the London Eye (LE)?

99%

104 rated

Answer

Out of the 6 combinations listed, 3 of them include the London Eye (LE):

  • LE, BP
  • LE, TL
  • LE, BM

To find the fraction, we calculate:

extFraction=Number of combinations including LETotal combinations=36=12 ext{Fraction} = \frac{\text{Number of combinations including LE}}{\text{Total combinations}} = \frac{3}{6} = \frac{1}{2}

Thus, the fraction of combinations that include the London Eye is ( \frac{1}{2} ).

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

;