A small pack of cards consists of the Ace, King, Queen, Jack and ten of all four suits. Find the probability of selecting the Queen of spades.

Answer

To solve the problem of finding the probability of selecting the Queen of Spades from a small pack of cards, we can follow these steps:

### Step 1: Identify the total number of cards in the pack.
A small pack of cards consists of the Ace, King, Queen, Jack, and Ten of all four suits (Hearts, Diamonds, Clubs, Spades).
- Each rank (Ace, King, Queen, Jack, Ten) has 4 cards (one for each suit).
- Therefore, the total number of cards can be calculated as follows:

\[ \text{Total cards} = 4 \text{ (Ace)} + 4 \text{ (King)} + 4 \text{ (Queen)} + 4 \text{ (Jack)} + 4 \text{ (Ten)} = 20 \text{ cards} \]

### Step 2: Identify the number of favorable outcomes.
We are interested in selecting the Queen of Spades specifically.
- There is only **1 Queen of Spades** in the pack.

### Step 3: Calculate the probability.
The probability \( P \) of an event is given by the formula:

\[ P(\text{Event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

In this case, the number of favorable outcomes is 1 (the Queen of Spades) and the total number of outcomes is 20 (the total cards).

\[ P(\text{Queen of Spades}) = \frac{1}{20} \]

### Final Answer:
The probability of selecting the Queen of Spades from the pack of cards is \( \frac{1}{20} \).

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