Question

When you roll two number cubes, what are the odds in simplest form against getting two numbers greater than 4?

Answer 1

The probability is `P(A)=1/9`

Explanation:

To calculate the probability of event `A` "rolling 2 numbers greater than `4`" we need to calculate the number of all elementary events, and the number of elementary events which fulfill the given condition.

There are `36` events in total. To calculate it we can write that:
`|Omega|=6*6=36`, because there are `6` possible results on each cube.

The events that fulfill the condition
rolling 2 numbers greater than `4` are:

`A={(5;5),(6;5),(5;6),(6,6)}`,

so there are `4` such events what we can write as: `|A|=4`.

Finally to calculate the probability we have to divide the calculated numbers:

`P(A)=|A|/|Omega|=4/36=1/9`