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

Answer

To solve the problem, we need to describe the event of getting a head and an even number when a coin and a die are tossed. Let's break this down step by step.

### Step 1: Identify the Sample Space
When we toss a coin, there are two possible outcomes:
- Heads (H)
- Tails (T)

When we toss a die, there are six possible outcomes:
- 1, 2, 3, 4, 5, 6

Now, we can combine these outcomes to form the total sample space when both the coin and the die are tossed together.

**Sample Space (S)**:
- (H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6)
- (T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)

Thus, the total sample space consists of 12 outcomes.

### Step 2: Identify the Required Event
The event we are interested in is getting a head and an even number. The even numbers on a die are 2, 4, and 6.

**Even Numbers**: 2, 4, 6

Now, we need to combine the outcome of getting a head with each of these even numbers.

### Step 3: List the Outcomes for the Required Event
The outcomes that satisfy the condition of getting a head and an even number are:
- (H, 2)
- (H, 4)
- (H, 6)

Thus, the required event can be represented as:
**Event A** = {(H, 2), (H, 4), (H, 6)}

### Conclusion
The event of getting a head and an even number when a coin and a die are tossed is represented by the outcomes:
- (H, 2)
- (H, 4)
- (H, 6)