Approximate Probability

Question

Mike is planning a vacation. He has narrowed down his choices to three types of vacations: coastal, rural, and urban. He uses the spinner shown above, which is evenly divided into 3 sections, to randomly decide which type of vacation to plan. If he spins the spinner 150 times, predict the number of times the spinner would land on the urban section.

Answer 1

We don't see a spinner, but you described it well enough to solve anyway. Since there are three sections and we assume there is no bias in the spinner itself, there should be an equal number of results in each category. In the short run, we may deviate significantly from this, but the Law of Large Numbers states that experiment should gradually approach theory. In other words, each section should receive 1/3 of 150 results: 50 each.