Thread: Rolling Dice Question

So I've been trying to solve this one which looks pretty straight forward, but I'm just not 100% sure about my solution. so any help is really appreciated.

Q: When 6 six-sided dice are rolled at the same time, whats the probability of getting at least 2 sixes?

I tried solving it by trying to find the probability of getting 0 and 1 six.

Probability of getting no sixes: (5/6)^6 = 0.3349
Probability of getting one six: 6*(1/6)(5/6)^5 = 0.4019

so the probability of getting at least two sixes is,
1 - (0.3349 + 0.4019) = 0.2632 ????

the probability of getting no sixes is pretty straight forward. however, getting one six was a bit tricky.. i considered a single instance of rolliing six dice where 1 dice has 1/6 of getting a six and the other 5 have 5/6 of not getting a six.. the outcome is, 6XXXXX.. and there are 6 different combinations of this.. so i multiplied it by six..

so what do you think.. is this correct or am I looking at it the wrong way? thanks for your help!

Originally Posted by Zipper

So I've been trying to solve this one which looks pretty straight forward, but I'm just not 100% sure about my solution. so any help is really appreciated.

Q: When 6 six-sided dice are rolled at the same time, whats the probability of getting at least 2 sixes?

I tried solving it by trying to find the probability of getting 0 and 1 six.

Probability of getting no sixes: (5/6)^6 = 0.3349
Probability of getting one six: 6*(1/6)(5/6)^5 = 0.4019

so the probability of getting at least two sixes is,
1 - (0.3349 + 0.4019) = 0.2632 ????

the probability of getting no sixes is pretty straight forward. however, getting one six was a bit tricky.. i considered a single instance of rolliing six dice where 1 dice has 1/6 of getting a six and the other 5 have 5/6 of not getting a six.. the outcome is, 6XXXXX.. and there are 6 different combinations of this.. so i multiplied it by six..

so what do you think.. is this correct or am I looking at it the wrong way? thanks for your help!

You are correct.