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A game involves throwing a die and spinning a spinner - HSC - SSCE Mathematics Standard - Question 10 - 2023 - Paper 1
Question 10
A game involves throwing a die and spinning a spinner. The sum of the two numbers obtained is the score. The table of scores below is partially completed.
Worked Solution & Example Answer:A game involves throwing a die and spinning a spinner - HSC - SSCE Mathematics Standard - Question 10 - 2023 - Paper 1
Step 1
Calculate Possible Scores
Answer
To calculate the scores, first note the potential outcomes from throwing a die and spinning a spinner. The die can show a number from 1 to 6, and the spinner can show a number from 1 to 3. Therefore, the minimum score is 1 (from the die) + 1 (from the spinner) = 2, and the maximum score is 6 + 3 = 9. This means the possible scores range from 2 to 9.
Step 2
Identify Frequency of Each Score
Answer
The frequency of each possible score can be calculated by evaluating the combinations of the die and spinner results that yield each score:
- Score 2: (1, 1)
- Score 3: (1, 2), (2, 1)
- Score 4: (1, 3), (2, 2), (3, 1)
- Score 5: (2, 3), (3, 2), (4, 1)
- Score 6: (3, 3), (4, 2), (5, 1)
- Score 7: (4, 3), (5, 2), (6, 1)
- Score 8: (5, 3), (6, 2)
- Score 9: (6, 3)
Counting these combinations will give the frequency of each score.
Step 3