Answer:
0.3339 = 33.39% probability that both Dave and Mike will show up
Step-by-step explanation:
Probability of independent events:
If A and B are independent events, the probability of both happening at the same time is given by:
[tex]P(A \cap B) = P(A)P(B)[/tex]
In this question:
Event A: Dave shows up.
Event B: Mike shows up.
Christine knows that there is a 47% chance that Dave will not show up and a 37% chance that Mike will not show up.
This means that [tex]P(A) = 1 - 0.47 = 0.53, P(B) = 1 - 0.37 = 0.63[/tex].
a. What is the probability that both Dave and Mike will show up
[tex]P(A \cap B) = P(A)P(B) = 0.53*0.63 = 0.3339[/tex]
0.3339 = 33.39% probability that both Dave and Mike will show up
