### Home > CCG > Chapter 12 > Lesson 12.2.3 > Problem12-90

12-90.

From the $13$ spades in a deck of cards, four are selected. Find the probability that:

1. Exactly one card is a “face” card (Jack, Queen, or King).

Find the probability of selecting a face card.

Find the probability of selecting a non-face card. Remember that the total number of cards has changed.

Repeat step 2 twice more. Multiply all four probabilities together. Remember, the order the cards are drawn in does not matter.

2. The cards form a consecutive sequence (count both A, $2$, $3$, $4$ and J, Q, K, A as consecutive sequences).

Use the factorial function to find all possible $4$-card permutations. Since we are talking about consecutive sequences, order does matter.

Write a list of all possible $4$-card consecutive sequences.

$P\ = \frac{\text{number of consecutive sequences}}{\text{number of all possible sequences}}$