Question

Two number cubes each have sides that are labeled 1 to 6. Iris rolls the 2 number cubes. What is the probability that the sum of the numbers on the number cubes will equal 4?
1/36
1/18
1/6
1/12

Answer 1

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) = $\frac{x}{y}$

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,

$P(A) = \frac{3}{36}$

or, $P(A) = \frac{1}{12}$

Hence,

The probability that the sum of the numbers on the number cubes will equal 4 is $\frac{1}{12}$. Option D.