Probability Question

Question

A small business finds that the probability of an employee getting caught stealing office supplies is about 7%. Out of an office of 15 employees, what is the probability that no employees are caught?

Answer 1

 

 Binomial probability...

(N choose k)*(p^k)*(1-p)^(n-k)

 

 p=0.07, looking for zero SUCCESSES in 15 trials, where a SUCCESS is defined in the context of this

problem as a employee getting caught stealing the office supplies.

 

N=15 trails

k=0  <-- we want zero successes

 

 

(15 choose 0) = 15!/0!15! = 1

 

(0.07)^0 = 1

 

So it comes down to (0.93)^15 = .3367 or roughly 33 and 2/3 percent chance