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Nada is planning the colour scheme for her bedroom - OCR - GCSE Maths - Question 10 - 2019 - Paper 1
Question 10
Nada is planning the colour scheme for her bedroom. The colour of her carpet can be blue (B), grey (G) or red (R). The walls can be painted yellow (Y), white (W) or... show full transcript
Worked Solution & Example Answer:Nada is planning the colour scheme for her bedroom - OCR - GCSE Maths - Question 10 - 2019 - Paper 1
Step 1
Complete the table to show all of the possible colour combinations she can make.
Answer
To find the possible colour combinations for Nada's bedroom, we can create a table based on the options available.
The carpet can be:
- Blue (B)
- Grey (G)
- Red (R)
The walls can be:
- Yellow (Y)
- White (W)
- Pink (P)
The combinations are as follows:
| Carpet | Walls |
|---|---|
| B | Y |
| B | W |
| B | P |
| G | Y |
| G | W |
| G | P |
| R | Y |
| R | W |
| R | P |
Step 2
Explain why it would not be mathematically correct to find the probability that Nada decides on a grey carpet and pink walls using this formula.
Answer
To determine the probability of Nada choosing a grey carpet (G) and pink walls (P), we need to consider the total number of possible colour combinations.
The formula presented is:
rac{1}{ ext{the total number of colour combinations}}
This formula cannot be applied here because it calculates the probability based on a singular event (G and P) out of all possible combinations without distinguishing whether this specific combination is counted as one of the available configurations. Rather, we must find the number of successful outcomes (in this case, just one: G, P) out of the total available combinations to calculate the probability more accurately.