what are the probabilities of each event? landing on a red space with an even number? landing on any other…

Explanation:

Step1: Count total number of spaces

There are 20 spaces on the wheel.

Step2: Count red - even spaces

The red - even numbers are 2, 4, 8, 10, 14, 16, 18, 20. There are 8 such spaces.

Step3: Calculate probability of landing on red - even

The probability formula is $P=\frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}}$. So $P(\text{red - even})=\frac{8}{20}=\frac{2}{5}$.

Step4: Calculate probability of landing on any other space

The probability of landing on any other space is $1 - P(\text{red - even})$. So $P(\text{other})=1-\frac{2}{5}=\frac{3}{5}$.

Answer:

Landing on a red space with an even number: $\frac{2}{5}$ Landing on any other space: $\frac{3}{5}$