When rolling two 1-6 number cubes, the table below shows the possible products for the two numbers rolled. The possible outcome is 36. If you rolled two number cubes, what is the probability you will roll a product larger than 9?

Solution:

Given, two 1-6 number cubes are rolled.

The possible outcomes are 36.

We have to find the probability of getting a product larger than 9.

Probability of an event = Favourable outcomes/Total outcomes

The sample space of outcomes 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)

Total outcomes = 36

Favourable outcomes = getting a product larger than 9

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

= 19

Probability(product larger than 9) = 19/36

Therefore, the probability is 19/36.

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When rolling two 1-6 number cubes, the table below shows the possible products for the two numbers rolled. The possible outcomes is 36. If you rolled two number cubes, what is the probability you will roll a product larger than 9 ?

Summary:

When rolling two 1-6 number cubes, the table below shows the possible products for the two numbers rolled.the possible outcomes is 36. If you rolled two number cubes, the probability you will roll a product larger than 9 is 19/36.