If 7 baskets are chosen at random, what is the probability that at least one basket is defective?

Your answer

Your name to display (optional):
Privacy: Your email address will only be used for sending these notifications.
Anti-spam verification:
To avoid this verification in future, please log in or register.

1 Answer

The probability of selecting a defective basket is 5/40=⅛, so the probability of selecting a non-defective basket is ⅞. The binomial probability distribution for a 7-basket trial is given by (⅛+⅞)⁷=1. The probability of selecting 7 OK baskets is ⅞⁷, so 1-⅞⁷ is the probability of selecting at least one defective basket. This evaluates to 0.6073 or 60.73% approx.

by Top Rated User (775k points)

Related questions

Welcome to MathHomeworkAnswers.org, where students, teachers and math enthusiasts can ask and answer any math question. Get help and answers to any math problem including algebra, trigonometry, geometry, calculus, trigonometry, fractions, solving expression, simplifying expressions and more. Get answers to math questions. Help is always 100% free!
85,249 questions
90,482 answers
80,272 users