Final answer:
The probability of the ball landing on three red numbers in five spins of the roulette wheel is approximately 6.4%.
Step-by-step explanation:
To determine the probability of the ball landing on three red numbers in five spins of the roulette wheel, we need to consider the total number of possible outcomes and the number of favorable outcomes. In each spin, there are 18 red numbers out of a total of 38 (the numbers 1-36 are either red or black, while 0 and 00 are green).
Using the formula for calculating probabilities, we can calculate the probability of getting three red numbers in five spins as:
- P(three reds) = (18/38) * (18/38) * (18/38) * (20/38) * (20/38)
This calculates to approximately 0.064, or 6.4%.