Questions: 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 2, 3, 4, 5, or 6. The probability of winning with the given five-number bet is (Type an integer or a simplified fraction.)

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 2, 3, 4, 5, or 6. The probability of winning with the given five-number bet is (Type an integer or a simplified fraction.)
Transcript text: 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 2, 3, 4, 5, or 6. The probability of winning with the given five-number bet is $\square$ (Type an integer or a simplified fraction.)
failed

Solution

failed
failed

Solution Steps

Step 1: Identify the Subset S

The subset S includes the slots: [2, 3, 4, 5, 6].

Step 2: Calculate the Size of S (|S|)

The size of the subset S (|S|) is: 5.

Step 3: Compute the Probability

The probability of winning the bet is the ratio of the number of slots in the subset S to the total number of slots on the wheel (N), which can be expressed as \(P = \frac{|S|}{N}\).

Step 4: Simplify the Fraction

Given the total number of slots N = 38 and the size of the subset S (|S|) = 5, the probability of winning the bet is \(P = \frac{|S|}{N} = \frac{5}{38}\).

Final Answer:

The probability of winning the specified bet in American roulette, rounded to 2 decimal places, is 0.13.

Was this solution helpful?
failed
Unhelpful
failed
Helpful

Questions asked by other users

failedAnswered
An individual was found to have high levels of the hormone calcitonin during a routine blood testing. Which of the following statements is most likely the reason for the results? High blood glucose levels Low blood calcium levels Low glucose levels High blood calcium levels
failedAnswered
What is the molarity of a solution containing 8.3 g of NaOH in 600 mL of NaOH solution? Express your answer to two significant figures and include the appropriate units. Molarity = Value Units
failedAnswered
Select 2 adverse effects that the nurse should plan to include when educating the client about their newly prescribed medications. Elevated liver enzymes Red-orange color to the urine Hypoglycemia Ototoxicity Hypertension
failedAnswered
Scott tries to remember his neighbors' names by putting them in ABC order. This is a more engaging extensive mental strategy for processing, called - repetition. - elaboration - strategies - imagery
failedAnswered
y 8 6 4 2 x -6 -4 -3 -2 -1 1 2 3 4 5 -2 -4 -6 -8