How do you do this on a calculator In a box there are 23 lig

How do you do this on a calculator?

In a box there are 23 light-bulbs, of which 10 are not working. We select 8 light-bulbs at random without replacement. What is the chance that 5 of the selected light-bulbs are not working?0.1470

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 =    23      
K = number of successes in the population =    10      
n = sample size =    8      
x = number of successes in the sample =    5      
          
Thus,          
          
P(   5   ) =    0.14699152 = 0.1470 [ANSWER, A]