  ### Home > MC2 > Chapter 1 > Lesson 1.2.1 > Problem1-47

1-47. 1-47. A standard deck of playing cards has four suits (symbols) in two colors: diamonds and hearts are red; clubs and spades are black. Each suit has 13 cards: an ace, the numbers two through ten, a jack, a queen, and a king.

1. What is P(black)?

P(black) means that you are finding the probability of drawing a black card from the deck.

How many black cards (spades and clubs) are there? How many cards are there total? Use a fraction in your answer.

Remember, the total number of cards is the denominator and the number of black cards is the numerator.

$\frac{26}{52}=\frac{1}{2}$

2. What is P(ace)?

How many aces are there in a deck of cards? How many cards are there total?

Remember, there are 4 suits with 1 ace in each suit

3. What is P(club)?

How many clubs are there in a deck of cards? How many cards are there total?

Remember, each suit has 13 cards.

4. If you drew a card from the deck and then replaced it, and repeated this 100 times, about how many times would you expect to draw a face card (king, queen, or jack)?Hint (d):

What is P(face)?

What is P(face) one hundred times? P(face) x 100 = ?