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, without replacement. • G₁ first card is green • G2 = second card is green Part (a) Draw a tree diagram of the situation. (Enter your answers as fractions.) G Y, 3/7 GG GY, 15/56 YG YY Part (b) Enter the probability as a fraction. P(G₁ AND G2) = - Part (c) Enter the probability as a fraction. P(at least one green) = Part (d) Enter the probability as a fraction. P(G2 | G1) = Part (e) Are G2 and G₁ independent events? Explain why or why not. ○ G₁ and G2 are independent because the chance of choosing a green card second depends on the color of the card chosen as the first card. O G₁ and G2 are not independent because they are the same color card. ○ G₁ and G2 are independent events because the probability of choosing a green card does not change after choosing the first card. OG₁ and G2 are not independent because after choosing the first green card, the probability of choosing another green card has changed.
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, without replacement. • G₁ first card is green • G2 = second card is green Part (a) Draw a tree diagram of the situation. (Enter your answers as fractions.) G Y, 3/7 GG GY, 15/56 YG YY Part (b) Enter the probability as a fraction. P(G₁ AND G2) = - Part (c) Enter the probability as a fraction. P(at least one green) = Part (d) Enter the probability as a fraction. P(G2 | G1) = Part (e) Are G2 and G₁ independent events? Explain why or why not. ○ G₁ and G2 are independent because the chance of choosing a green card second depends on the color of the card chosen as the first card. O G₁ and G2 are not independent because they are the same color card. ○ G₁ and G2 are independent events because the probability of choosing a green card does not change after choosing the first card. OG₁ and G2 are not independent because after choosing the first green card, the probability of choosing another green card has changed.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.9: Independent And Dependent Events
Problem 13E
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Question
please solve this problem step by step and make it quick please
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, without replacement.
•
G₁ first card is green
•
G2 = second card is green
Part (a)
Draw a tree diagram of the situation. (Enter your answers as fractions.)
G
Y, 3/7
GG
GY, 15/56
YG
YY
Part (b)
Enter the probability as a fraction.
P(G₁ AND G2) =
- Part (c)
Enter the probability as a fraction.
P(at least one green) =
Part (d)
Enter the probability as a fraction.
P(G2 | G1) =
Part (e)
Are G2 and G₁ independent events? Explain why or why not.
○ G₁ and G2 are independent because the chance of choosing a green card second depends on the color of the card chosen as the first card.
O G₁ and G2 are not independent because they are the same color card.
○ G₁ and G2 are independent events because the probability of choosing a green card does not change after choosing the first card.
OG₁ and G2 are not independent because after choosing the first green card, the probability of choosing another green card has changed.
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