What is the probability of getting 3 tails when tossing a coin three times?

To determine the probability of getting 3 tails when tossing a coin three times, we can use the fundamentals of probability.

1. **Total Outcomes**: When we toss a coin, there are two possible outcomes for each toss: heads (H) or tails (T). When tossing the coin three times, the total number of outcomes can be calculated as follows:

  • For the first toss: 2 outcomes
  • For the second toss: 2 outcomes
  • For the third toss: 2 outcomes

So, the total number of outcomes = 2 × 2 × 2 = 8.

2. **Favorable Outcomes**: The favorable outcome for our question is getting tails on all three tosses, which is represented as TTT. This is just one specific outcome.

3. **Calculating Probability**: Probability is calculated by dividing the number of favorable outcomes by the total number of outcomes. Here, we have:

Probability = (Number of Favorable Outcomes) / (Total Outcomes) = 1/8.

4. **Conclusion**: Thus, the probability of getting 3 tails when tossing a coin three times is 1/8 or 0.125, which corresponds to a 12.5% chance of this occurring.

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