Photo AI
There are only blue cubes, yellow cubes and green cubes in a bag - Edexcel - GCSE Maths - Question 4 - 2017 - Paper 2
Question 4
There are only blue cubes, yellow cubes and green cubes in a bag. There are twice as many blue cubes as yellow cubes and four times as many green cubes as blue c... show full transcript
Worked Solution & Example Answer:There are only blue cubes, yellow cubes and green cubes in a bag - Edexcel - GCSE Maths - Question 4 - 2017 - Paper 2
Step 1
Determine the ratios of the cubes
Answer
Let the number of yellow cubes be represented as ( y ). Then, according to the problem:
- The number of blue cubes is ( 2y ) (twice the yellow cubes).
- The number of green cubes is ( 4 \times 2y = 8y ) (four times the number of blue cubes).
Thus, we have the following counts:
- Blue cubes: ( 2y )
- Yellow cubes: ( y )
- Green cubes: ( 8y )
Step 2
Step 3
Find the probability of selecting a yellow cube
Answer
The probability that Hannah takes a yellow cube is given by the ratio of the number of yellow cubes to the total number of cubes:
[ P(\text{yellow}) = \frac{y}{11y} = \frac{1}{11} ]
Therefore, the probability that Hannah takes a yellow cube is ( \frac{1}{11} ).