In a sample of four items what is the probability that exact

In a sample of four items, what is the probability that exactly three are acceptable? Assume the samples are drawn without replacement. (Round your answer to 4 decimal places.)

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 =    15      
K = number of successes in the population =    10      
n = sample size =    4      
x = number of successes in the sample =    3      
          
Thus,          
          
P(   3   ) =    0.43956044 [ANSWER]