How do you find the relative frequency of landing on red in 50 spins of a roulette wheel?

To find the relative frequency of landing on red, divide the number of red outcomes by 50 spins.

In more detail, relative frequency is a way to estimate the probability of an event based on experimental data. For a roulette wheel, which has 18 red slots out of 38 total slots (including 18 black and 2 green), you can spin the wheel multiple times and record the outcomes.

Let's say you spin the roulette wheel 50 times and count how many times the ball lands on a red slot. Suppose it lands on red 20 times. To find the relative frequency, you take the number of red outcomes (20) and divide it by the total number of spins (50).

So, the relative frequency of landing on red would be calculated as follows:
\[ \text{Relative Frequency} = \frac{\text{Number of Red Outcomes}}{\text{Total Number of Spins}} = \frac{20}{50} = 0.4 \]

This means that, based on your 50 spins, the relative frequency of landing on red is 0.4, or 40%. This is an experimental probability and can vary with different sets of spins. The more spins you perform, the closer your relative frequency should get to the theoretical probability, which for a fair roulette wheel is approximately 18/38 or about 0.474.