When playing American roulette, the croupier (attendant) spins a marble that lands in one of the 38 slots in a revolving turntable. The slots are numbered 1 to 36 , with two additional slots labeled 0 and 00 that are painted green. Assume a single spin of the roulette wheel is made. Find the probability of winning with the given bet.
An example of a five-number bet is betting that the marble will land in a slot numbered $10,11,12,13$, or 14.
The total number of outcomes is and the number of outcomes in the event is (Type integers or simplified fractions.)
d
Answer
Final Answer: The probability of winning with a five-number bet in American roulette is approximately \(\boxed{0.1316}\).
Step 1 ：In American roulette, the croupier spins a marble that lands in one of the 38 slots in a revolving turntable. The slots are numbered 1 to 36, with two additional slots labeled 0 and 00 that are painted green.
Step 2 ：Assume a single spin of the roulette wheel is made. An example of a five-number bet is betting that the marble will land in a slot numbered 10,11,12,13, or 14.
Step 3 ：The total number of outcomes is the total number of slots, which is 38.
Step 4 ：The number of outcomes in the event is the number of slots the player is betting on, which is 5.
Step 5 ：The probability of winning is the number of outcomes in the event divided by the total number of outcomes. So, the probability is \(\frac{5}{38}\).
Step 6 ：Final Answer: The probability of winning with a five-number bet in American roulette is approximately \(\boxed{0.1316}\).
