Question

Two number cubes are rolled. What are the odds that one cube will have at show at least 5 and the other cube will show a multiple of 3.

Answer 1

number cubes? Are we talking about dice?

Answer 2

yes

Answer 3

I assume so, its how they presented the question.

Answer 4

How many numbers on the die will be at least 5?

Answer 5

that's the part I don't understand. The wording confuses me, I was hoping I could come here to get some clarification.

Answer 6

Well, there are 6 sides, and 5 and 6 are at least 5.

Answer 7

2/6?

Answer 8

The sample space has 36 possible combinations of numbers. These can be set out in column form as follows:
6,6 5,6 4,6 3,6 2,6 1,6
6,5 5,5 4,5 3,5 2,5 1,5
6,4 5,4 4,4 3,4 2,4 1,4
6,3 5,3 4,3 3,3 2,3 1,3
6,2 5,2 4,2 3,2 2,2 1,2
6,1 5,1 4,1 3,1 2,1 1,1
You need to find how many of the outcomes show at least 5 on one cube and the other cube shows a multiple of 3. Let this number of outcomes be n, and let the event 'meets the specified outcome' be A.
P(A) = n/36.
Let the event 'does not meet the specified outcome' be B.
P(B) = (36 - n)/36.
The odds in favor of meeting the specified out come are:
P(A) : P(B)

Answer 9

So on it's own, 2 sides of 6 sides

Answer 10

@Knamzy How many outcomes in the first column meet the specification?

Answer 11

One cube has to have either a 5 or a 6, and the other cube has to have either a 6 or a 3.

Answer 12

@Knamzy Are you there?