Question

Determine the number of outcomes in the event. Then decide whether the event is a simple event or not. Explain your reasoning. You randomly select a computer from a batch of 50, which contains 3 defective computers. Event B is selecting a defective computer.

Options:
Option 1: 1; simple event because it is an event that consists of only one type of computer.
Option 2: 3; not a simple event because it is an event that consists of more than a single outcome.
Option 3: 50; not a simple event because it is an event that consists of more than a single outcome.
Option 4: 3; simple event because it is an event that consists of only one type of computer.

Answer 1

There are 3 outcomes in the event of selecting a defective computer, which is a simple event since all the outcomes represent the same single occurrence of choosing a defective unit.

Step-by-step explanation:

You are tasked with determining the number of outcomes in the event of selecting a defective computer from a batch of 50 computers that contains 3 defective ones, and deciding whether this is a simple event or not. The correct answer is that there are 3 outcomes in event B (selecting a defective computer). This is also a simple event, because even though there are multiple outcomes, they all represent the same single occurrence or attribute, which is being a defective computer. A simple event in probability refers to an event with only one outcome or one type of outcome, whereas a non-simple event would have multiple different types of outcomes or occurrences. Since selecting any one of the defective computers constitutes the event 'selecting a defective computer', it is a simple event.