MATH105 Probability and Likelihood

Learning Goal: I’m working on a probability writing question and need the explanation and answer to help me learn.

An event is more likely when it has a greater probability of happening.

Refer to the chart below and the line associated with your assigned number to answer these questions.

There are two boxes containing only red and purple pens. A pen is randomly chosen from each box.

1. Which of these events is most likely to occur?
   • Event 1: choosing a red pen from Box B.
   • Event 2: choosing a purple pen from Box A.
   • Event 3: choosing a red pen from Box A.
2. Which of these events is least likely to occur?
   • Event 1: choosing a red pen from Box A.
   • Event 2: choosing a purple pen from Box B.
   • Event 3: choosing a red pen from Box B.
3. Name an event with either box A or box B where the probability would be 1.
4. Name an event with either box A or box B where the probability would be 0.
5. Name an event with either box A or box B where the probability would be 3.

Box A – 11 purple pens

Box A – 24 red pens

Box B – 18 purple pens

Box B – 7 red pens