# Calculus

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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?

• Calculus -

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

• Calculus -

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