Mathematics, 24.04.2020 17:31 mianelson367

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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.

Answers: 2

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