The king, queen and jack of diamonds are removed from a pack of 52 playing cards and the pack is well shuffled. A card is drawn from the remaining cards.
Find the probability of getting a card of a jack

Answer

To solve the problem of finding the probability of drawing a Jack from a modified pack of playing cards, we can follow these steps:

### Step 1: Determine the total number of cards remaining
Initially, there are 52 cards in a standard deck. We have removed the King, Queen, and Jack of Diamonds from the deck.

**Calculation:**
Total cards remaining = 52 - 3 = 49 cards.

### Step 2: Determine the number of Jacks remaining
In a standard deck, there are 4 Jacks (one from each suit: Diamonds, Hearts, Clubs, and Spades). Since we have removed the Jack of Diamonds, we need to find out how many Jacks are left.

**Calculation:**
Total Jacks remaining = 4 - 1 = 3 Jacks (Hearts, Clubs, and Spades).

### Step 3: Set up the probability formula
Probability is calculated using the formula:
\[ P(\text{Event}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

In this case:
- Number of favorable outcomes (drawing a Jack) = 3 (remaining Jacks)
- Total number of outcomes (total cards remaining) = 49

### Step 4: Calculate the probability
Now we can substitute the values into the probability formula.

**Calculation:**
\[ P(\text{drawing a Jack}) = \frac{3}{49} \]

### Final Answer
The probability of drawing a Jack from the remaining cards is \(\frac{3}{49}\).

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