A popular, low-cost furniture store only sells "Do-It-Yourself" furniture. All the furniture pieces come in a box, and customers can build the furniture at home. The store found that there is a 45% chance that a customer plans to hire someone else to build the furniture for them.

Question

A popular, low-cost furniture store only sells "Do-It-Yourself" furniture. All the furniture pieces come in a box, and customers can build the furniture at home. The store found that there is a 45% chance that a customer plans to hire someone else to build the furniture for them.
Assuming this is true, if 4 customers are randomly selected to win a toolbox, what is the probability that at atmost 3 of those customers are planning on hiring someone else to build the furniture?

oobleck · Answer

P(3 or less) = 1 - P(all 4) = 1 - .45^4

R_scott · Answer

the probability of all 4 hiring someone is ... (.45)^4