If a coin is tossed 4 times, then the number of elements in the sample space is

Answer

To find the number of elements in the sample space when a coin is tossed 4 times, we can follow these steps:

### Step 1: Understand the Problem
When a coin is tossed, it can land in one of two ways: heads (H) or tails (T).

### Step 2: Determine the Number of Tosses
In this problem, the coin is tossed 4 times.

### Step 3: Use the Formula for Sample Space
The formula to calculate the number of elements in the sample space when a coin is tossed \( n \) times is given by:
\[ \text{Number of elements in sample space} = 2^n \]
where \( n \) is the number of tosses.

### Step 4: Substitute the Value of n
Since the coin is tossed 4 times, we substitute \( n = 4 \) into the formula:
\[ \text{Number of elements in sample space} = 2^4 \]

### Step 5: Calculate the Result
Now, we calculate \( 2^4 \):
\[ 2^4 = 2 \times 2 \times 2 \times 2 = 16 \]

### Final Answer
Thus, the number of elements in the sample space when a coin is tossed 4 times is \( 16 \).

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