Welcome to the article Tracy has two pencils a blue pen and a red pen in her pencil case She randomly withdraws one writing tool followed by another without. 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 that Tracy will draw a red pen followed by a blue pen from her pencil case without replacement is 1/12.
Explanation:
The question involves calculating the probability of drawing a red pen followed by a blue pen from a pencil case containing two pencils, a blue pen, and a red pen, without replacement. First, we determine the probability of drawing the red pen. Since there are four items in the pencil case, the probability of drawing the red pen first is 1 out of 4, or 1/4. If Tracy draws the red pen first, there are now three items left in the case, so the probability of drawing the blue pen second is 1 out of 3, or 1/3. To find the total probability, we multiply these two probabilities together:
Probability of red pen followed by blue pen = (1/4) * (1/3) = 1/12
Therefore, the probability that Tracy will draw a red pen followed by a blue pen is 1/12.
Thank you for reading the article Tracy has two pencils a blue pen and a red pen in her pencil case She randomly withdraws one writing tool followed by another without. We hope the information provided is useful and helps you understand this topic better. Feel free to explore more helpful content on our website!
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Rewritten by : Brahmana