Answer:
Step-by-step explanation:
Probability is defines as the likelihood or chance that an event will occur.
Probability = expected outcome of event/total outcome.
Since a single die with 9 sides was rolled, the total event outcome will be 9*9 = 81
Expected outcome will be the event that the sum of the two rolls equals 3. The possible outcomes are {(1,2), (2,1)}. The expected outcome is 2
Probability that the sum of the two rolls equals 3 = 2/81
The probability that the sum of the two rolls equals 3 is [tex]\dfrac{2}{81}[/tex].
Important information:
We need to find the probability that the sum of the two rolls equals 3.
If a die with 9 sides is rolled twice, then the number of total possible outcomes is:
[tex]9\times 9=81[/tex]
The sum of the two rolls equals 3, if we get 1, 2 and 2, 1. It means the number of favorable outcomes is 2.
[tex]P=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]
[tex]P=\dfrac{2}{81}[/tex]
Therefore, the probability that the sum of the two rolls equals 3 is [tex]\dfrac{2}{81}[/tex].
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