Answer:
The probability that the sum of the dice is 3, is 3/16.
Step-by-step explanation:
It is given that two four-sided dice are rolled.
Total number of sides of each dice = 4
Possible values for each dice = 1,2,3,4
If two four-sided dice are rolled, then the total possible outcomes are
[tex]A=\{(1,1),(1,2),(1,3),(1,4),(2,1),(2,2),(2,3),(2,4),\\(3,1),(3,2),(3,3),(3,4),(4,1),(4,2),(4,3),(4,4)\}[/tex]
Total number of possible outcomes = 16
The sum of the dice is 3.
[tex]\text{Favorable outcomes}=\{(1,1),(1,2),(2,1)\}[/tex]
Total number of favorable outcomes = 3
The probability that the sum of the dice is 3.
[tex]Probabilty=\frac{3}{16}[/tex]
Therefore the probability that the sum of the dice is 3, is 3/16.
