A company has 10 customers 6 of whom are located out of stat

A company has 10 customers, 6 of whom are located out of state. Five orders were randomly selected recently. Find the probability that 2 of the 5 will be from out-of-state customers

Solution

Note that the probability of x successes out of n trials is          
          
P(x) = C(N-K, n-x) C(K, x) / C(N, n)          
          
where          
N = population size =    10      
K = number of successes in the population =    6      
n = sample size =    5      
x = number of successes in the sample =    2      
          
Thus,          
          
P(   2   ) =    0.238095238 [ANSWER]