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Mark with an arrow (↓) the probability the counter is (a) red - OCR - GCSE Maths - Question 5 - 2020 - Paper 1

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Mark with an arrow (↓) the probability the counter is (a) red. (b) yellow. (c) green.

Worked Solution & Example Answer:Mark with an arrow (↓) the probability the counter is (a) red - OCR - GCSE Maths - Question 5 - 2020 - Paper 1

Step 1

(a) red.

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Answer

To determine the probability that the counter is red, consider the total number of counters and how many of them are red. If, for example, there are 5 red counters out of 10 total counters, the probability can be calculated as:

P(red)=Number of red countersTotal number of counters=510=0.5P(red) = \frac{\text{Number of red counters}}{\text{Total number of counters}} = \frac{5}{10} = 0.5

Mark the arrow at 0.5 on the number line provided.

Step 2

(b) yellow.

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Answer

Next, evaluate the probability that the counter is yellow. If there are 2 yellow counters out of the same 10 total counters, the calculation is as follows:

P(yellow)=Number of yellow countersTotal number of counters=210=0.2P(yellow) = \frac{\text{Number of yellow counters}}{\text{Total number of counters}} = \frac{2}{10} = 0.2

Mark the arrow at 0.2 on the number line.

Step 3

(c) green.

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Answer

Finally, determine the probability that the counter is green. If there are 3 green counters out of the 10 total counters, then:

P(green)=Number of green countersTotal number of counters=310=0.3P(green) = \frac{\text{Number of green counters}}{\text{Total number of counters}} = \frac{3}{10} = 0.3

Mark the arrow at 0.3 on the number line.

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