Background

These questions are meant to get you thinking. We haven’t covered this material yet, so consider this a preview. You won’t be graded on the correctness of your answer, but rather your participation and explanations of your thought processes.

Questions

Take a quick stretch break, then set up your table’s group via self-select.

You have a bag containing 5 acorns at your table. The acorns are of two types:

  • red acorns have red ink
  • plain acorns have no ink

Remember that we haven’t covered this material in class yet; I’m not looking for ‘correct’ answers but rather a description of your thought processes.

Answer the following questions:

  • Q1 (1 pt.): Who are the members of your group?
  • Q2 (1 pt.): How many red acorns are in your bag?
  • Q3 (2 pts.): What is the probability that you reach into the bag, randomly select an acorn, and it is red? You don’t need to give an exact number, but be sure to explain your reasoning.
  • Q4 (2 pts.): What is the probability that you reach into the bag, randomly grab two acorns, and they are both red? Don’t try to give an exact number, but rather explain why this might be higher or lower than your answer to the previous question.
  • Q5 (2 pts.): Keeping in mind your your answer to 2, what is the probability that you grab all 5 acorns at once and find two red acorns? Explain your reasoning.
  • Q6 (2 pts.): Keeping in mind your your answer to 2, what is the probability that you grab all 5 acorns at once and find three red acorns? Explain your reasoning.

Report

Compile your answers into a document and upload it to Moodle.