The probability a person is left-handed is 0.14. In a group of 45 people, what is the probability that exactly five are left-handed?

Question

 The probability a person is left-handed is 0.14. In a group of 45 people, what is the probability that exactly five are left-handed? 

 

Binomial probabilities?

Answer 1

There may be several ways of visualizing this problem - the one I'd choose is, set up L L L L L R R ..... as the initial permutation, probability = 0.14^5*0.86^40. Then multiply this by the combinations possible = 45!/(40!5!). This given 0.1576, approximately, which seems reasonable.