Given:
Two cubes are rolled together.
To find the probability that the sum of the numbers on the number cubes will equal 4.
Formula
P(A) = ![\frac{x}{y}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7By%7D)
where, A be any event.
x be the number of successful outcomes
y be the total number of outcomes
Now,
If the two cubes are rolled together, total number of outcomes = 36
In total outcomes, the sum of the numbers of cube will be 4 for (1,3),(3,1) and (2,2)
So, the number of successful outcomes = 3
Now,
Putting x=3 and y = 36 we get,
![P(A) = \frac{3}{36}](https://tex.z-dn.net/?f=P%28A%29%20%3D%20%5Cfrac%7B3%7D%7B36%7D)
or, ![P(A) = \frac{1}{12}](https://tex.z-dn.net/?f=P%28A%29%20%3D%20%5Cfrac%7B1%7D%7B12%7D)
Hence,
The probability that the sum of the numbers on the number cubes will equal 4 is
. Option D.