URGENTTTTTTTTTTTTTTTTTT
Jason has a bag that contains 8 identically shaped boxes. 6 of the boxes are blue, and 2 are green.
3 of the blue boxes have a prize, and 1 of the green boxes has a prize.
Jason randomly selects a box from the bag. Let A be the event that he selects a box with a prize and B be the event that the box is green.
Which of the following statements are true?
Choose all answers that apply:
(Choice A)
P(A | B)=P(A) , the conditional probability that Jason selects a box with a prize given that he has chosen a green box is equal to the probability that Jason selects a box with a prize.
(Choice B)
P(B | A)=P(B), the conditional probability that Jason selects a green box given that he has chosen a box with a prize is equal to the probability that Jason selects a green box.
(Choice C)
Events A and B are independent events
(Choice D)
The outcomes of events A and B are dependent on each other.
(Choice E)
P(A and B)=P(A)⋅P(B), the probability that Jason selects a box that contains a prize and is green is equal to the probability that Jason selects a box with a prize multiplied by the probability that he selects a green box.