Question

Help! I don’t understand this

A game has two four-sides dice having the number 1, 6, 7, and 4 on their faces. Outcomes in the sample space are pairs such as (1,6) and (4,4).

d. what is the probability that the total showing is greater than 9?

I have the other ones solved but really need help on the last one.

Answer 1

The sample space is

• {(1,6),(1,7),(1,4),(6,7),(6,4),(7,4)}

Pairs having sum greater than 9 are

• E=3

So

`\\ \rm\hookrightarrow P(E)=(3)/(6)=1/2`

Answer 2

1/2

Explanation:

A sample space is a collection or a set of possible outcomes of a random experiment.

I have created the sample space for these data and attached it. As you can see there are 16 possible outcomes.

To find the probability that the total showing is greater than 9, simply identify the number of values in the sample space that are greater than 9.

(I have highlighted these in yellow).

Therefore, P(X>9) = 8/16 = 1/2