A coin and a die are tossed . Describe the following events .
C : getting a tail and an even number ,

Answer

To solve the problem of describing the event C: getting a tail and an even number when a coin and a die are tossed, we will follow these steps:

### Step 1: Identify the outcomes of the coin toss
When a coin is tossed, there are two possible outcomes:
- Heads (H)
- Tails (T)

### Step 2: Identify the outcomes of the die toss
When a die is tossed, there are six possible outcomes:
- 1, 2, 3, 4, 5, 6

### Step 3: Determine the even numbers on the die
From the outcomes of the die, the even numbers are:
- 2, 4, 6

### Step 4: Combine the outcomes of the coin and die
We are interested in the event where we get a tail from the coin and an even number from the die. The combinations are:
- Tail (T) with 2 (T, 2)
- Tail (T) with 4 (T, 4)
- Tail (T) with 6 (T, 6)

### Step 5: List the sample space for event C
The sample space for event C (getting a tail and an even number) consists of the following outcomes:
- (T, 2)
- (T, 4)
- (T, 6)

Thus, the required sample space for event C is:
C = {(T, 2), (T, 4), (T, 6)}