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Suppose that you have 8 cards. 5 are green and 3 are yellow. The cards are well shuffled. Suppose that you randomly draw two cards, one at a time, with replacement. first card is green • G1 • G2 = second card is green O Part (a) Draw a tree diagram of the situation. (Enter your answers as fractions.) 5/8 3/8 5/8 Y, 3/8 5/8 3/8 25/ 15/ GG GY, 15/64 YG 9/6

Suppose that you have 8 cards. 5 are green and 3 are yellow. The cards are well shuffled. Suppose that you randomly draw two cards, one at a time, with replacement. first card is green • G1 • G2 = second card is green O Part (a) Draw a tree diagram of the situation. (Enter your answers as fractions.) 5/8 3/8 5/8 Y, 3/8 5/8 3/8 25/ 15/ GG GY, 15/64 YG 9/6

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Suppose that you have 8 cards. 5 are green and 3 are yellow. The cards are well shuffled. Suppose that you randomly draw two cards, one at a time, with replacement. • G, = first card is green 1 • G2 = second card is green O Part (a) Draw a tree diagram of the situation. (Enter your answers as fractions.) 5/8 3/8 5/8 G Y, 3/8 5/8 3/8 25/ 15/ GG GY, 15/64 YG 9/6
Transcribed Image Text:Suppose that you have 8 cards. 5 are green and 3 are yellow. The cards are well shuffled. Suppose that you randomly draw two cards, one at a time, with replacement. • G, = first card is green 1 • G2 = second card is green O Part (a) Draw a tree diagram of the situation. (Enter your answers as fractions.) 5/8 3/8 5/8 G Y, 3/8 5/8 3/8 25/ 15/ GG GY, 15/64 YG 9/6
Enter the probability as a fraction. P(G2 |G,) = [3/8 O Part (e) Are G, and G, independent events? Explain why or why not. G, and G, are independent events because choosing a green card and replacing it does not affect the chances of choosing a second green card. 1 G, and G, are independent events because the probability of choosing a green card each time is the same. G, and G, are not independent because after choosing the first green card, the second green card has less chance of being picked. G, and G, are not independent because they are the same color card.
Transcribed Image Text:Enter the probability as a fraction. P(G2 |G,) = [3/8 O Part (e) Are G, and G, independent events? Explain why or why not. G, and G, are independent events because choosing a green card and replacing it does not affect the chances of choosing a second green card. 1 G, and G, are independent events because the probability of choosing a green card each time is the same. G, and G, are not independent because after choosing the first green card, the second green card has less chance of being picked. G, and G, are not independent because they are the same color card.
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