Im having trouble with this question:
What is the probability of not throwing 7 or doubles for six consecutive throws with a pair of dice.
I know that for each pair of dice there are 36 possibilities. So the sample space and total number of solutions would be 36^6.
I understand how to get the denominator but not the numerator.
I mean isn't their 6 ways of getting a seven with dice and six ways of getting double?
So i did (12/36)^6 but I end up with 1/729 so since its indirect i do 1 - 1/729. But i still get it wrong.
The final answer is supposed to be 64/729 btw. So how would I go on about doing this?
Thanks in advance