three fair coins are tossed simultaneously . Find the propability of
getting one tail .

Options

A. 1
B. `1/4`
C. `5/8`
D. `3/8`

Answer

To solve the problem of finding the probability of getting exactly one tail when three fair coins are tossed simultaneously, we can follow these steps:

### Step 1: Determine the Sample Space
When tossing three coins, each coin has two possible outcomes: Heads (H) or Tails (T). Therefore, the total number of outcomes when tossing three coins can be calculated using the formula for the number of outcomes of independent events:

\[ \text{Total Outcomes} = 2^n \]
where \( n \) is the number of coins. Here, \( n = 3 \).

\[ \text{Total Outcomes} = 2^3 = 8 \]

The sample space (all possible outcomes) can be listed as follows:
1. HHH
2. HHT
3. HTH
4. HTT
5. THH
6. THT
7. TTH
8. TTT