Determine whether the scenario involves independent or dependent events. Then find theprobability.

Question

A spinner has an equal chance of landing on each of its three numbered regions. You spin four times. The first spin lands in region one and the remaining spins lands in region three.

Answer 1

These are independent events kind of by definition (we don’t imagine that the spinner has any recollection of its previous spins — put another way, the outcome of any spin doesn’t change the probability of any future spins).

In which case, the probability that the sequence of spins results in 1,3,3,3 is (1/4)³ = 1/64.