A card is selected from a standard deck of 52 playing cards. A standard deck of cards has 12 face cards and four Aces (Aces are not face cards). Find the probability of selecting


·an eight given the card is a not a face card.
·a club given the card is red.
·a King, given that the card is red.

OK, Jen. Now it's your turn to get away from the computer and start doing your own thinking.

We've shown you how to find probabilities. Now, use your brain, pencil and paper, and calculator to find these answers.

We'll be glad to check them.

i believe the first one is 4/52?

the second one is 2/12?
and the last one is 4/12?

1. ·an eight given the card is a not a face card.

This question is confusing. I suspect that this answer is 4/40

2. Clubs are black.

3. No.

Buy or borrow a deck of cards and study them carefully.

2. 4/12?

3. 8/12??

NO!

im confused!! :(

Buy or borrow a deck of cards and study them carefully.

ok....will do

To find the probability of selecting a specific card given certain conditions, we need to determine the number of favorable outcomes (cards that meet the given condition) and divide it by the total number of possible outcomes.

1. Probability of selecting an eight given the card is not a face card:
A standard deck of 52 cards has 4 eights, and there are a total of 52 - 12 = 40 non-face cards (since there are 12 face cards). Therefore, the probability of selecting an eight given the card is not a face card is:
Number of favorable outcomes: 4 (number of eights)
Total number of possible outcomes: 40 (number of non-face cards)
Probability = 4/40 = 1/10 = 0.1 (or 10%)

2. Probability of selecting a club given the card is red:
A standard deck of 52 cards has 13 clubs, and there are 26 red cards (since half of the cards are red). Therefore, the probability of selecting a club given the card is red:
Number of favorable outcomes: 13 (number of clubs)
Total number of possible outcomes: 26 (number of red cards)
Probability = 13/26 = 1/2 = 0.5 (or 50%)

3. Probability of selecting a King given that the card is red:
A standard deck of 52 cards has 2 red Kings (hearts and diamonds), and there are 26 red cards. Therefore, the probability of selecting a King given that the card is red is:
Number of favorable outcomes: 2 (number of red Kings)
Total number of possible outcomes: 26 (number of red cards)
Probability = 2/26 = 1/13 ≈ 0.0769 (or approximately 7.69%)