Question

Norma has a deck of cards with 5 red, 6 yellow, 2 green, and 3 blue cards. She randomly chooses a card. Find the probability of choosing a green card, NOT replacing it, and then choosing a red card. (Use the / key as the fraction line)

Answer 1

Answer: 1/24

Explanation:

Total number of cards = 5 + 6 + 2 + 3 = 16.

Probability of choosing a green card = 2/16 = 1/8 (since there are 2 green cards out of 16 total cards).

Now, we do not replace the green card, so there are only 15 cards left in the deck.

Probability of choosing a red card given that we already chose a green card and did not replace it = 5/15 = 1/3.

Thus, the probability of choosing a green card and then a red card is:

1/8 x 1/3 = 1/24

Therefore, the probability of choosing a green card, NOT replacing it, and then choosing a red card is 1/24.