Find the probability of getting tail each time in three tosses of a coin.

Explanation

To find the probability of getting tails each time in three tosses of a coin, we can follow these steps:

### Step 1: Determine the total number of outcomes
When a coin is tossed, there are 2 possible outcomes: heads (H) or tails (T). For three tosses, the total number of outcomes can be calculated using the formula for the total outcomes of independent events, which is \( 2^n \), where \( n \) is the number of tosses.

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

### Step 2: Identify the favorable outcomes
We are interested in the event where we get tails on all three tosses. The only favorable outcome for this event is TTT (tail, tail, tail). Thus, there is only 1 favorable outcome.

\[ \text{Favorable outcomes} = 1 \quad (\text{TTT}) \]

### Step 3: Calculate the probability
The probability of an event is calculated using the formula:

\[ \text{Probability} = \frac{\text{Number of favorable outcomes}}{\text{Total number of outcomes}} \]

Substituting the values we found:

\[ \text{Probability of getting tails each time} = \frac{1}{8} \]

### Final Answer
The probability of getting tails each time in three tosses of a coin is \( \frac{1}{8} \).

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