Spinner spun 1 to 15 three separate times. What are the odds the spinner lands on a number greater than three times in a row?

Question

A spinner is spun that has 15 equal-sized sections numbered to 1 to 15 three separate times. What are the odds the spinner lands on a number greater than five three times in a row

Answer 1

There are 10 numbers greater than 5 on the spinner, out of a total of 15 numbers. That means the probability of landing on a number greater than 5 is 10/15 = 2/3. Spinning three times means you multiply that probability by itself three times:

 

(2/3)(2/3)(2/3) = 8/27