Question

The red face cards and the black cards numbered 4-9 are put into a bag. Two cards are drawn at random without replacement. What is the probability that both cards drawn are red face cards?

1) 1/11
2) 1/10
3) 1/9
4) 1/8

Answer 1

To find the probability of drawing two red face cards, we need to calculate the probability of drawing a red face card on the first draw and then the probability of drawing another red face card given that the first card was a red face card. The correct probability is 11/35, which is not provided as an option.

Step-by-step explanation:

To find the probability that both cards drawn are red face cards, we need to determine the number of red face cards in the bag and the total number of cards in the bag.

We are given that the red face cards and the black cards numbered 4-9 are put into the bag. This means that there are a total of 12 red face cards in the bag.

When we draw the first card, there are 12 red face cards out of a total of 21 cards (12 red face cards + 9 black cards numbered 4-9).

After drawing the first card, there are 11 red face cards left out of a total of 20 cards.

Therefore, the probability of drawing two red face cards is (12/21) * (11/20) = 11/35.

So, the correct probability is 11/35, which is not one of the options provided.