Suppose that you have 9 cards, 5 are green and 4 are yellow. The cards are well shuffled. Suppose that you randomly draw two cards, one at a time, without replacement. - G 1 = first card is green - G 2 = second card is green Part (a) Draw a tree diagram of the situation. (Enter your answers as fractions.) Part (b) Enter the probability as a fraction. P ( G 1 A N D G 2 ) = Enter the probability as a fraction. P ( G 1 , A N D G 2 ) = Part (c) Enter the probability as a fraction. P(at least one green ) = Part (d) Enter the probability as a traction. P ( G 2 G 1 ) = Part (o) Are G 2 and G 1 independent events? Explain why or why not. G 1 and G 2 are independent because the chance of choosing a green card second depends on the color of the card chosen as the first card. G 1 and G 2 are not independent because they are the same color card. G 1 and G 2 are independent events because the probabty of choosing a green card does not change afler choosing the first card. G 1 and G 2 are not independent because ather choosing the first green card, the probability of choosing another green card has changed.
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Suppose that you have 9 cards- 5 are green and 4 are yellow- The cards.docx
1. Suppose that you have 9 cards, 5 are green and 4 are yellow. The cards are well shuffled.
Suppose that you randomly draw two cards, one at a time, without replacement. - G 1 = first card
is green - G 2 = second card is green Part (a) Draw a tree diagram of the situation. (Enter your
answers as fractions.) Part (b) Enter the probability as a fraction. P ( G 1 A N D G 2 ) = Enter the
probability as a fraction. P ( G 1 , A N D G 2 ) = Part (c) Enter the probability as a fraction. P(at
least one green ) = Part (d) Enter the probability as a traction. P ( G 2 G 1 ) = Part (o) Are G 2
and G 1 independent events? Explain why or why not. G 1 and G 2 are independent because the
chance of choosing a green card second depends on the color of the card chosen as the first card.
G 1 and G 2 are not independent because they are the same color card. G 1 and G 2 are
independent events because the probabty of choosing a green card does not change afler
choosing the first card. G 1 and G 2 are not independent because ather choosing the first green
card, the probability of choosing another green card has changed.
