The probability that a visitor to an animal shelter will adopt a dog is .20. Out of nine visits, what is the probability that at least one dog will be adopted?
A).8658
B).3020
C).5639
D).1342

Question

Quizplus · Accepted Answer

The probability of at least one dog being adopted is easier to calculate by finding the complement, which is the probability of no dogs being adopted in nine visits. The probability of not adopting a dog in one visit is 1 - 0.20 = 0.80. For nine visits, it's 0.80^9 ≈ 0.1342. Thus, the probability of at least one adoption is 1 - 0.1342 = 0.8658.

The Probability That a Visitor to an Animal Shelter Will