Li throws two fair four-sided dice, each numbered 1, 2, 3 and 4 - OCR - GCSE Maths - Question 4 - 2021 - Paper 1
Question 4
Li throws two fair four-sided dice, each numbered 1, 2, 3 and 4.
Li multiplies together the two numbers that the dice land on to produce a score.
Find the probabilit... show full transcript
Worked Solution & Example Answer:Li throws two fair four-sided dice, each numbered 1, 2, 3 and 4 - OCR - GCSE Maths - Question 4 - 2021 - Paper 1
Step 1
Find all possible scores
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Answer
When two four-sided dice are thrown, each die can land on the values 1, 2, 3, or 4. The possible products from multiplying the outcomes of the two dice (denoted as d1 and d2) are:
If die 1 shows 1: 1×1, 1×2, 1×3, 1×4 → Scores: 1, 2, 3, 4
If die 1 shows 2: 2×1, 2×2, 2×3, 2×4 → Scores: 2, 4, 6, 8
If die 1 shows 3: 3×1, 3×2, 3×3, 3×4 → Scores: 3, 6, 9, 12
If die 1 shows 4: 4×1, 4×2, 4×3, 4×4 → Scores: 4, 8, 12, 16
The complete list of unique possible scores is: 1, 2, 3, 4, 6, 8, 9, 12, 16.
Step 2
Identify prime numbers from the scores
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Answer
Prime numbers are defined as numbers greater than 1 that have no divisors other than 1 and themselves. From the scores obtained:
