A deck of cards has three yellow cards and five green cards. One green card is drawn from the deck and not replaced. One more card is randomly drawn. Find the probability that the second card is yellow.
I wonder how many cards are in the deck. It matters.
3/8
3/7
its 3/7 because there is 7 cards left in the deck and three of them are yellow.
question is 3/7 or 3/8 plz pick one
57 cards in a deck
To find the probability that the second card drawn is yellow, we need to determine the total number of possible outcomes and the number of successful outcomes.
First, let's determine the total number of possible outcomes. When the first card is drawn, there are a total of 8 cards in the deck (3 yellow + 5 green). Since this card is not replaced, there are 7 cards remaining in the deck when the second card is drawn.
Now, let's determine the number of successful outcomes, which is the number of yellow cards remaining in the deck. Since one green card was drawn and not replaced, there are still 3 yellow cards left in the deck.
Therefore, there are 3 successful outcomes (drawing a yellow card on the second draw) out of 7 possible outcomes (drawing any card from the remaining deck).
The probability that the second card drawn is yellow is calculated by dividing the number of successful outcomes by the total number of possible outcomes:
Probability = Successful outcomes / Total outcomes
Probability = 3 / 7 ≈ 0.429 or 42.9%
So, the probability that the second card drawn is yellow is approximately 0.429 or 42.9%.