Question

A spinner numbered 1 through 5 is spun 3 times. what is the probability of spinning a number less than 3 each time? are these events dependent or independent?

Answer 1

Prob(spinning a number < 3on 1 spin)  = Prob( spinning 1 or 2) = 2/5

Prob( spinning <3 3 times) =  2/5 * 2/5 * 2/5  = 8/125

These events are independent so we multiply the probabilities.