Problem 14E

Often in buying a product at a supermarket, there is a concern about the item being underweight. Suppose there are 20 “one-pound” packages of frozen ground turkey on display and 3 of them are underweight. A consumer group buys 5 of the 20 packages at random. What is the probability of at least one of the five being underweight?

Answer :

Step 1 of 1:

We can select the number of non underweight turkeys in any one of ways.

If we assume that each of the ways of selecting 5 turkey from 20 turkeys has the same probability.

Then we have to find the probability of at least one of the being underweight.

20 packages = 3 underweight + 17 normal.

Let A = at least one of 5 being underweight and

= none of them is underweight

P(A) = 1 - P()

P(at least one of 5 being underweight) = 1- P(none of them is underweight)

P(at least one of 5 being underweight) = 1 -

P(at least one of 5 being underweight) = 1 -

P(at least one of 5 being underweight) = 1 - 0.3991

P(at least one of 5 being underweight) = 0.6009

Therefore the probability of at least one of the being underweight is 0.6009