Probability of Rolling at Least One Six with Two Dice

[XodoX]

Homework Statement

Two dice are rolled. What is the probability that at least one is six? If two faces are different, what is the probability that at least one is six?

Homework Equations

The Attempt at a Solution

I have no clue. Although the first one shouldn't be that hard, but it's "at least", so I don't really know. 1-P(0), I guess, but I'm not sure how to get P(0).

 

[jbunniii]

What is the complement of the event "at least one is six"?

 

[XodoX]

0 six

 

[jbunniii]

OK, so what's the probability of rolling two dice and getting no sixes?

If you're not sure about this, how about first answering the simpler question: what is the probability of rolling one die and getting no six?

 

[DaveC426913]

Not that I recommend this but this problem is simple enough that you could solve it using brute force by writing all combos out. i.e. There are exactly 36 possible combinations of 2 dice. How many of those combinations contain at least one six?

Then, you can go back and generalize the principle that lead you to that answer.

 

[XodoX]

Alright. Thank you. I got it now.

 

[DaveC426913]

So, now that you know the principle, can you apply it? If you had 3 six sided dice, could you say the odds that at least one six turns up?