A card is drawn from a pack of cards . Find the probability that it is
not a spade and

Answer

To solve the problem of finding the probability that a card drawn from a standard deck of cards is not a spade, we can follow these steps:

### Step 1: Understand the total number of cards
A standard deck of cards contains a total of 52 cards.

### Step 2: Determine the number of spade cards
In a standard deck, there are 13 spade cards.

### Step 3: Calculate the number of cards that are not spades
To find the number of cards that are not spades, we subtract the number of spade cards from the total number of cards:
\[ \text{Number of cards not spades} = \text{Total cards} - \text{Number of spade cards} = 52 - 13 = 39 \]

### Step 4: Set up the probability formula
The probability of an event is given by the formula:
\[ P(\text{not a spade}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]
In this case, the number of favorable outcomes is the number of cards that are not spades (39), and the total number of outcomes is the total number of cards (52).

### Step 5: Substitute the values into the formula
\[ P(\text{not a spade}) = \frac{39}{52} \]

### Step 6: Simplify the fraction
To simplify \(\frac{39}{52}\), we can divide both the numerator and the denominator by their greatest common divisor (GCD), which is 13:
\[ P(\text{not a spade}) = \frac{39 \div 13}{52 \div 13} = \frac{3}{4} \]

### Final Answer
The probability that the card drawn is not a spade is:
\[ \frac{3}{4} \]

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