Independent & Dependent Compound Events

Counters

Work Time

Counters

You have a box containing four counters numbered 5, 6, 7, and 8. You randomly choose one counter.

  • How many outcomes are there in the sample space?
  • What is the probability that you will select the 5?
  • If you select the 5 and do not replace it, how many outcomes will there be in the new sample space?
  • Based on this new sample space, what is the probability of selecting a 6?
  • Illustrate your thinking with a tree diagram, a list, and/or a table.
  • What is the probability of first selecting the 5 and then selecting the 6, assuming that you do not replace the first counter?