Here is the question:
And here is the answer:
I understand till "There are 20 ways" but then, P(event does not occur), where did the (1/6)^3 come from??
Please help as fast as possible! Thank you.
It is more confusing becasue some of what is written is WRONG.
There are 20 ways that this can happen
and there are 6*6*6 = 216 different possible rolls
6 choices for the 1st roll, 6 for the second, 6 for the third = 6*6*6 different outcomes (order definitely counts)
P(that it WILL happen ) = \(\frac{20}{216}\)
P( that it DOES NOT happen ) = \(1-\frac{20}{216}\)
P( that it WILL NOT happen twice in a row ) = \((1-\frac{20}{216})^2\)
Does that make more sense?