Thomas favorite colors are blue and green. He has 1 blue shirt, 1 green shirt, 1 blue hat, 1 green scarf, 1 blue pants, and 1 green pants. Tomas selects one of these garments at random. Let A be the event that he selects a blue garment and let B be the event that he chooses a shirt. Which of the following statements are true? (Choice A)
A
P(A\text{ | }B)=P(A)P(A | B)=P(A)P, left parenthesis, A, start text, space, vertical bar, space, end text, B, right parenthesis, equals, P, left parenthesis, A, right parenthesis, the conditional probability that Tomas selects a blue garment given that he has chosen a shirt is equal to the probability that Tomas selects a blue garment.

(Choice B)
B
P(B\text{ | }A)=P(B)P(B | A)=P(B)P, left parenthesis, B, start text, space, vertical bar, space, end text, A, right parenthesis, equals, P, left parenthesis, B, right parenthesis, the conditional probability that Tomas selects a shirt given that he has chosen a blue garment is equal to the probability that Tomas selects a shirt.

(Choice C)
C
Events AAA and BBB are independent events.

(Choice D)
D
The outcome of events AAA and BBB are dependent on each other.

(Choice E)
E
P(A\text{ and }B)=P(A) \cdot P(B)P(A and B)=P(A)⋅P(B)P, left parenthesis, A, start text, space, a, n, d, space, end text, B, right parenthesis, equals, P, left parenthesis, A, right parenthesis, dot, P, left parenthesis, B, right parenthesis, the probability that Tomas selects a blue garment that is a shirt is equal to the probability that Tomas selects a blue garment multiplied by the probability that he selects a shirt.