At the end of a production run manufacturing rubber gaskets,items are sampled at random and inspected to determine if the item is acceptable (A)or defective (D).Suppose it is planned to select two items and determine if each is either A or D.Which set of outcomes describes the event that at least one of the items selected is defective?
A){AA,AD,DD}
B){AD,DA,DD}
C){DD}
D){AA,AD,DA}
E){AA,DD}

Question

Quizplus · Accepted Answer

The event "at least one of the items selected is defective" can occur in three ways: selecting a defective item first and an acceptable item second (AD), selecting an acceptable item first and a defective item second (DA), or selecting two defective items (DD). Therefore, the set of outcomes that includes at least one of these three ways is B: {AD, DA, DD}. The other sets of outcomes do not include all three possibilities.

At the End of a Production Run Manufacturing Rubber Gaskets,items