Two coins are tossed together. Find the probability of gettig:
two tails

Answer

To solve the problem of finding the probability of getting two tails when two coins are tossed together, we can follow these steps:

### Step 1: Identify the total number of outcomes
When two coins are tossed, each coin has two possible outcomes: Heads (H) or Tails (T). Therefore, the total number of outcomes when two coins are tossed can be calculated as follows:

- For Coin 1: H or T (2 outcomes)
- For Coin 2: H or T (2 outcomes)

Thus, the total number of outcomes = 2 (for Coin 1) × 2 (for Coin 2) = 4.

### Step 2: List all possible outcomes
The possible outcomes when tossing two coins are:
1. HH (Head, Head)
2. HT (Head, Tail)
3. TH (Tail, Head)
4. TT (Tail, Tail)

### Step 3: Identify favorable outcomes
We are interested in finding the probability of getting exactly two tails. From the list of outcomes, we can see that there is only one outcome that has two tails:
- TT (Tail, Tail)

So, the number of favorable outcomes = 1.

### Step 4: Calculate the probability
The probability of an event is given by the formula:
\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

Substituting the values we found:
\[ \text{Probability of getting two tails} = \frac{1}{4} \]

### Final Answer
The probability of getting two tails when two coins are tossed together is \( \frac{1}{4} \).

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