Suppose there are 6 runners in the finals of a 100 m sprint, Abbie, Becca, Clarice, Danna, Emma, and Francine. Answer each of the following questions.

1. An analyst, Grace, gives Abbie a 12% chance to place first and Becca an 8% chance to place second. Assume these percentages are accurate. Can we determine the probability that Abbie will place first and Becca will place second? Why or why not?

No, the events are dependent

Step-by-step explanation:

The probability of two events occurring is:

P(A and B) = P(A) × P(B given A)

If the events are independent (event A does not affect the probability of event B), then P(B given A) = P(B).

However, these events aren't independent.  If Abbie places first, it affects the probability of whether Becca places second.

P(B given A) ≠ P(B)

P(B given A) ≠ 0.08