suppose that 5 cards are drawn froma well shuffled deck of 5

suppose that 5 cards are drawn froma well shuffled deck of 52 cards. what is the probability that all 5 are not face cards?

The probability is _____?

Solution

There are 12 face cards in 52 cards.

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 =    52      
K = number of successes in the population =    12      
n = sample size =    5      
x = number of successes in the sample =    0      
          
Thus,          
          
P(   0   ) =    0.253181273 [ANSWER]