A fair six-sided dice, numbered 1 to 6, is rolled - OCR - GCSE Maths - Question 4 - 2023 - Paper 1
Question 4
A fair six-sided dice, numbered 1 to 6, is rolled.
The diagram shows a probability scale.
Which arrow shows the probability that the dice
(a) lands on 5,
(b) lands ... show full transcript
Worked Solution & Example Answer:A fair six-sided dice, numbered 1 to 6, is rolled - OCR - GCSE Maths - Question 4 - 2023 - Paper 1
Step 1
(a) lands on 5
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Answer
The probability of landing on 5 when rolling a fair six-sided dice is P(5)=61\nThis means the corresponding arrow on the probability scale should point to ( \frac{1}{6} ) which is closer to arrow B.
Step 2
(b) lands on 7
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Answer
When rolling a fair six-sided dice, it is impossible to land on 7. Therefore, the probability is 0, which corresponds to the position of arrow A on the probability scale.
Step 3
(c) lands on a number greater than 2
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Answer
The numbers greater than 2 on a six-sided dice are 3, 4, 5, and 6. This gives us 4 favorable outcomes. The probability is therefore calculated as follows:\nP(>2)=64=32\nThe corresponding arrow on the probability scale should point to ( \frac{2}{3} ), which is closest to arrow F.
