Two coins are tossed simultaneously. What is the probability of getting at least one head?

Answer

To find the probability of getting at least one head when two coins are tossed simultaneously, we can follow these steps:

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

- Coin 1: H or T
- Coin 2: H or T

The total outcomes can be represented as:
1. HH (Head, Head)
2. HT (Head, Tail)
3. TH (Tail, Head)
4. TT (Tail, Tail)

So, the total number of outcomes = 4.

### Step 2: Identify the favorable outcomes
Next, we need to identify the outcomes that result in at least one head. The favorable outcomes are:
1. HH (Head, Head)
2. HT (Head, Tail)
3. TH (Tail, Head)

The only outcome that does not have at least one head is:
- TT (Tail, Tail)

Thus, the number of favorable outcomes = 3.

### Step 3: Calculate the probability
The probability of an event is given by the formula:
\[ \text{Probability} = \frac{\text{Number of Favorable Outcomes}}{\text{Total Outcomes}} \]

Substituting the values we found:
\[ \text{Probability of getting at least one head} = \frac{3}{4} \]

### Final Answer
The probability of getting at least one head when two coins are tossed is \( \frac{3}{4} \).

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