Calculus
posted by John on .
A spinner is used for which it is equally probable that the pointer will land on any one of six regions. Three of the regions are colored red , two are colored green, and one in colored yellow. If the pointer is spun twice, find the probability it will land on green and then yellow?

What is the probability that it will land on green the first roll (2/6)
Now the second roll is independent of the first. We did not cross out the green region or anything. We take a fresh roll with the same conditions as the first roll.
So the probability of a yellow on the second roll is (1/6)
since we decided that the events are independent the probability of both happening is
(2/6)(1/6) = 2/36 = 1/18 
thanks I had 1/3 not 1/18 I added and didn't multiply