A modified roulette wheel has 40 slots. One slot is 0 , another is 00 , and the others are numbered 1 through 38 , respectively. You are placing a bet that the outoome is an even number. (In roulette, 0 and 00 are neither odd nor even.)
a. What is your probability of winning?
The probability of winning is
(Type an integer or a simplified fraction.)
Answer
Final Answer: The probability of winning is \(\boxed{0.475}\)
Step 1 ：The question is asking for the probability of getting an even number in a roulette game with 40 slots. The even numbers are from 2 to 38, and each number has only one slot, so there are 19 even numbers. The total number of slots is 40.
Step 2 ：So the probability of winning is the number of even numbers divided by the total number of slots.
Step 3 ：\(\text{even\_numbers} = 19\)
Step 4 ：\(\text{total\_slots} = 40\)
Step 5 ：\(\text{probability\_of\_winning} = \frac{\text{even\_numbers}}{\text{total\_slots}} = 0.475\)
Step 6 ：Final Answer: The probability of winning is \(\boxed{0.475}\)
