Question

Consider an experiment where 2 balls are drawn from a bin containing 3 red balls and 2 green balls (balls are not replaced between drawn). Define the events A, B, and C as follows:

A = both balls are red, B = both balls are green, C = first ball is red

A.) what is the sample space for this experiment (make a tree diagram if needed)?

B.) What is the probability associated with each of the sample points?

C.) Find the probability of A, B, and C.

D.) Find P(A|B) and P(B|A).

E.) Is the event A independent and B independent? Are the events A and B mutually exclusive?

F.) Find P(A|C) and P(C|A)

Answer 1