Discussion Questions 1. Why are the “With Replacement” and “Without Replacement” probabilities different?

2. Convert P(no yellows) to decimal format for both Theoretical “With Replacement” and for Empirical “With

Replacement”. Round to four decimal places.

a. Theoretical “With Replacement”: P(no yellows) =

b. Empirical “With Replacement”: P(no yellows) =

c. Are the decimal values “close”? Did you expect them to be closer together or farther apart? Why?

3. If you increased the number of times you picked two M&Ms to 240 times, why would empirical probability

values change?

4. Would this change (see part 3) cause the empirical probabilities and theoretical probabilities to be closer together or farther apart? How do you know?

5. Explain the differences in what P(G1 AND R2) and P(R1|G2) represent. Hint: Think about the sample space for

each probability.