Aspinner has 12 equal sectors with different letters for each sector, as shown below: a spinner with 12 equal sectors is shown. the sectors are labeled b, y, g, c, p, o, v, m, a, d, e, and r. hamlet spins the spinner 5 times, and it stops at the letter "b" 4 times. if he spins the spinner a 10th time, what is the theoretical probability that this time it will stop at the letter 'b'?

The theoretical probability of an event is not affected by previous outcomes. The only then that matters is the math.
(Sidebar: Forgetting or ignoring this is a big part of gambling addiction, just because your number hasn't come up in a while in no way means you are 'due' for a win.)

For any probability:


In this case:



This is the same as it would always be. There is always 1/12 chance of a . What happened before doesn't matter.