Final answer:
To find the probability of drawing two green cards without replacement from a deck, multiply the probabilities of drawing green cards on each draw. The probability is 5/14.
Explanation:
To calculate the probability of drawing two green cards without replacement, you first determine the probability of drawing a green card on the first draw, then the probability of drawing a green card on the second draw after the first green card has been removed.
Sample space:
- First card: G₁ = 5 green cards/8 total cards
- Second card: G₂ = 4 green cards/7 total cards
Calculating the probability:
(5/8) * (4/7) = 20/56 = 5/14
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