You are playing roulette at a casino in the United States. The wheel has 18 r slots, 18 black slots, and two green slots. In 4 spins of the wheel what is the probability of at least one red?

To find the probability of getting at least one red slot in 4 spins of the wheel, we can first calculate the probability of not getting any red slots in 4 spins and then subtract that probability from 1. The probability of not getting a red slot in one spin is the number of non-red slots (18 black slots + 2 green slots) divided by the total number of slots (18 red slots + 18 black slots + 2 green slots). Let's calculate the probability of not getting a red slot in one spin first. Calculate the value by following steps: - step0: Calculate: \(\frac{\left(18+2\right)}{\left(18+18+2\right)}\) - step1: Remove the parentheses: \(\frac{18+2}{18+18+2}\) - step2: Add the numbers: \(\frac{20}{18+18+2}\) - step3: Add the numbers: \(\frac{20}{38}\) - step4: Reduce the fraction: \(\frac{10}{19}\) The probability of not getting a red slot in one spin is approximately 0.5263. Now, let's calculate the probability of not getting any red slots in 4 spins by multiplying the probability of not getting a red slot in one spin by itself 4 times. Calculate the value by following steps: - step0: Calculate: \(\left(\frac{10}{19}\right)^{4}\) - step1: Use the properties of exponents: \(\frac{10^{4}}{19^{4}}\) - step2: Evaluate the power: \(\frac{10000}{19^{4}}\) The probability of not getting any red slots in 4 spins is approximately 0.0767. Finally, to find the probability of getting at least one red slot in 4 spins, we subtract the probability of not getting any red slots from 1. Let's calculate the probability of getting at least one red slot in 4 spins. Calculate the value by following steps: - step0: Calculate: \(1-0.0767\) - step1: Subtract the numbers: \(0.9233\) The probability of getting at least one red slot in 4 spins of the wheel is approximately 0.9233 or 92.33%.