At a Noodles \& Company restaurant, the probability that a customer will order a nonalcoholic beverage is .46 . d. Find the probability that in a sample of 10 customers, all 10 will order a nonalcoholic beverage. (Round your answer to 4 decimal places.)

Step 1 ：We are given a problem where we need to find the probability that in a sample of 10 customers at a Noodles & Company restaurant, all 10 will order a nonalcoholic beverage. The probability that a customer will order a nonalcoholic beverage is given as 0.46.

Step 2 ：This is a binomial probability problem. The formula for binomial probability is: \(P(X=k) = C(n, k) * (p^k) * ((1-p)^(n-k))\), where: \(P(X=k)\) is the probability we are trying to find, \(C(n, k)\) is the number of combinations of n items taken k at a time, \(p\) is the probability of a single event, \(n\) is the number of trials, and \(k\) is the number of successful trials we are interested in.

Step 3 ：In this case, \(n=10\) (the number of customers), \(k=10\) (all customers order a nonalcoholic beverage), and \(p=0.46\) (the probability that a customer will order a nonalcoholic beverage).

Step 4 ：We can plug these values into the formula and calculate the result. The number of combinations of 10 items taken 10 at a time is 1. So, \(C(n, k) = 1\).

Step 5 ：Substituting these values into the formula, we get: \(P(X=10) = 1 * (0.46^{10}) * ((1-0.46)^{10-10})\).

Step 6 ：Solving this, we get the probability as 0.0004.

Step 7 ：Final Answer: The probability that in a sample of 10 customers, all 10 will order a nonalcoholic beverage is \(\boxed{0.0004}\).