The sample space diagram is
3 | 4 | 5 | 6
2 5 | 6 | 7 | 8
3 6 | 7 | 8 | 9
3 6 | 6 | 8 | 9
The probability of scoring a total of 9 is 1/6.
What is probability?
Probability is the numerical assessment of the likelihood or chance of an event happening, expressing uncertainty in a measurable way.
The sample space diagram is
3 | 4 | 5 | 6
2 5 | 6 | 7 | 8
3 6 | 7 | 8 | 9
3 6 | 6 | 8 | 9
From the table
Outcomes are 5, 6, 7, 8, 6, 7, 8, 9, 6, 7 ,8,9
Number of total outcones = 12
Total number of outcomes which are 9 = 2
Probability = favoured outcome/Total number of possible outcomes
P(total of 9) = Number of 9/Total number of outcomes
P(total of 9) = 2/12
P(total of 9) = 1/6
Therefore,the probability of scoring a total of 9 is 1/6.
Complete question