Edsel has four number cards. Sharon has three number cards. tu represents a number that Sharon knows. Edsel and Sharon each pick one of their cards at random. They calculate the difference between the numbers on their cards. This is their sample space. | Edsel | 3 | 8 | 9 | 12 | |-------|---|---|---|----| | Sharon| 11| 6 | u | | Work out the values of r and t.

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Edsel has four number cards - OCR - GCSE Maths - Question 7 - 2018 - Paper 1

Question 7

Edsel has four number cards. Sharon has three number cards. tu represents a number that Sharon knows. Edsel and Sharon each pick one of their cards at random. The... show full transcript

Worked Solution & Example Answer:Edsel has four number cards - OCR - GCSE Maths - Question 7 - 2018 - Paper 1

Step 1

Calculate the differences for u = 2

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Answer

By examining the difference calculations:

Edsel's card 3 gives: |3 - 11| = 8,
Edsel's card 8 gives: |8 - 6| = 2,
Edsel's card 9 gives: |9 - 2| = 7,
Edsel's card 12 gives: |12 - 6| = 6.

Thus, when u = 2, r = 5 and t = 2.

Step 2

Calculate the differences for u = 8

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Answer

Using the same logic:

Edsel's card 3 yields: |3 - 11| = 8,
Edsel's card 8 yields: |8 - 6| = 2,
Edsel's card 9 yields: |9 - 8| = 1,
Edsel's card 12 results in: |12 - 8| = 4.

Thus, when u = 8, r = 5 and t = 2.

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