Marcus has a bag that contains 5 identically shaped boxes. 3 of the boxes are blue, and 2 are green. 2 of the blue boxes have a prize , and 1 of the green boxes has a prize. Marcus randomly selects a box from the bag. Let A be the event that he selects a blue box and B be the event that the box contains a prize. Which of the following statements are true?
Marcus has a bag that contains 5 identically shaped boxes. 3 of the boxes are blue, and 2 are green. 2 of the blue boxes have a prize , and 1 of the green boxes has a prize. Marcus randomly selects a box from the bag. Let A be the event that he selects a blue box and B be the event that the box contains a prize. Which of the following statements are true?
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.7: Introduction To Coding Theory (optional)
Problem 7E
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Transcribed Image Text:Marcus has a bag that contains 5 identically shaped boxes. 3 of the boxes are blue, and 2 are green.
2 of the blue boxes have a prize , and 1 of the green boxes has a prize.
Marcus randomly selects a box from the bag. Let A be the event that he selects a blue box and B be the
event that the box contains a prize.
Which of the following statements are true?
Choose all answers that apply:
P(A| B) = P(A), the conditional probability that Marcus selects a blue box given that he has
chosen a box with a prize is equal to the probability that Marcus selects a blue box.
P(B| A) = P(B), the conditional probability that Marcus selects a box with a prize given that
he has chosen a blue box is equal to the probability that Marcus selects a box with a prize.
Events A and B are independent events.
The outcomes of events A and B are dependent on each other.
P(A and B) = P(A) · P(B), the probability that Marcus selects a box that is blue and
%3D
E
contains a prize is equal to the probability that Marcus selects a blue box multiplied by the
probability that he selects a box with a prize.
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