Welcome to the article A junk drawer at home contains nine pens four of which work What is the probability that you randomly grab two pens from the drawer. On this page, you will learn the essential and logical steps to better understand the topic being discussed. We hope the information provided helps you gain valuable insights and is easy to follow. Let’s begin the discussion!
Answer :
Final answer:
The probability of picking two non-functioning pens consecutively from a drawer of nine pens, where five do not work, is 5/18 or 0.277778 to the nearest millionth.
Explanation:
The subject of this question is probability, specifically the probability of selecting non-functional pens from a drawer. Out of nine pens, five of them do not work. The probability of picking a non-functional pen on the first draw is 5/9. When one pen is removed, there are eight remaining. If the first pen drawn was non-functional (as we hope), four of the remaining eight pens are non-functional. So the probability of picking a second non-functional pen is 4/8. The total probability of picking two non-working pens consecutively, without replacement, is (5/9) * (4/8) = 20/72, which simplified to lowest terms becomes 5/18. This is approximately 0.277778 when expressed as a decimal rounded to the nearest millionth.
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Rewritten by : Brahmana