The probability of getting two numbers whose sum is greater than 9 is [tex]\frac{5}{36}[/tex].
To find the probability of getting two numbers whose sum is greater than 9:
The set of 36 equally likely outcomes is {(1, 1), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)}
Set of numbers greater than 9:
{(5, 5), (5, 6), (6, 4), (6, 5), (6, 6)}
Formula:
Favorable event / Total number of events = [tex]\frac{5}{36}[/tex]
Therefore, the probability of getting two numbers whose sum is greater than 9 is [tex]\frac{5}{36}[/tex].
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