A coin is tossed . If it results in a head , a coin is tossed , otherwise a die is thrown . Describe the following events :
D : getting a tail and an odd number .

Answer

To solve the problem, we will break it down step by step.

### Step 1: Understand the Experiment
A coin is tossed. If it results in a head (H), another coin is tossed. If it results in a tail (T), a die is thrown.

### Step 2: Identify Possible Outcomes
1. **If the first toss is a Head (H)**:
- The second toss can result in either Head (H) or Tail (T).
- Possible outcomes: HH, HT

2. **If the first toss is a Tail (T)**:
- A die is thrown, which can result in any of the numbers 1 to 6.
- Possible outcomes: T1, T2, T3, T4, T5, T6

### Step 3: Complete Sample Space
Combining the outcomes from both scenarios, we have the complete sample space:
- Sample Space (S) = {HH, HT, T1, T2, T3, T4, T5, T6}

### Step 4: Define the Event D
We need to describe the event D: getting a tail and an odd number.
- From the outcomes when a die is thrown (T1, T2, T3, T4, T5, T6), the odd numbers are T1, T3, and T5.

### Step 5: List Outcomes for Event D
Thus, the outcomes for event D (getting a tail and an odd number) are:
- D = {T1, T3, T5}

### Final Answer
The event D consists of the outcomes T1, T3, and T5.

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