Question

Two number cubes are rolled. What is the probability that the sum of the numbers rolled is either 3 or 9?

Answer 1

Answer:

A

Step-by-step explanation:

Two number cubes are rolled.

The list of all 36 possible outcomes when rolling two dice is

(1,1), (1,2), (1,3), (1,4), (1,5), (1,6),

(2,1), (2,2), (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), (4,4), (4,5), (4,6),

(5,1), (5,2), (5,3), (5,4), (5,5), (5,6),

(6,1), (6,2), (6,3), (6,4), (6,5), (6,6).

The sum of 3:

(1,2) and (2,1)

The sum of 9:

(3,6), (4,5), (5,4) and (6,3)

So, the number of all favorable outcomes is 2 + 4 = 6

The probability is

$\dfrac{6}{36}=\dfrac{1}{6}$

Answer 2

Answer:

The answer is A. 1/6 hopefully this helps!