A coin and a die are tossed . Describe the following events .
D : getting a head or a tail.

Answer

To solve the problem of describing the event D: getting a head or a tail when a coin and a die are tossed, we will follow these steps:

### Step 1: Identify the Sample Space
When a coin is tossed, it can either land on Heads (H) or Tails (T). When a die is tossed, it can land on any of the numbers from 1 to 6.

The sample space for the combined experiment (tossing a coin and a die) can be represented as follows:
- For Heads: H1, H2, H3, H4, H5, H6
- For Tails: T1, T2, T3, T4, T5, T6

### Step 2: List the Outcomes
Now, we can list all the possible outcomes in the sample space:
- When the coin shows Heads:
- H1 (Head and 1)
- H2 (Head and 2)
- H3 (Head and 3)
- H4 (Head and 4)
- H5 (Head and 5)
- H6 (Head and 6)

- When the coin shows Tails:
- T1 (Tail and 1)
- T2 (Tail and 2)
- T3 (Tail and 3)
- T4 (Tail and 4)
- T5 (Tail and 5)
- T6 (Tail and 6)

### Step 3: Define the Event D
The event D is defined as getting either a Head or a Tail. Therefore, the event D includes all the outcomes from the sample space:
- D = {H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}

### Final Answer
The event D consists of all possible outcomes of tossing a coin and a die, which are:
D = {H1, H2, H3, H4, H5, H6, T1, T2, T3, T4, T5, T6}