Question

A fair six sided die is rolled four times what is the probability that the sequence of rolls is 4256 

Answer 1

1/1296 or 0.0007716049382716

Explanation:

asking how probable it is for the rolls to be rolled in that sequence

so first off in the first roll its a 1/6th chance

then second roll should be 1/6th chance too, right?

but you have to consider the first roll too

how likely is it for the first roll AND the second roll to be in that sequence?

1/6 x 1/6

aka

6 x 6

36

for the first two rolls there are a 1/36 chance for that sequence to happen

so for four its

1/6 x 1/6 x 1/6 x 1/6

6 x 6 x 6 x 6

1296

1/1296 probability OR 0.0007716049382716 (decimals)

hope this helps x