To find the probability of getting all three tails when flipping three fair coins, we can start by examining the total number of possible outcomes. Each coin has two possible results: heads (H) or tails (T).
When flipping three coins, the total number of possible outcomes can be calculated as follows:
Total Outcomes = 2^n, where n is the number of coins.
In this case, with n = 3, the calculation would be:
Total Outcomes = 2^3 = 8
The possible combinations when flipping three coins include:
- HHH
- HHT
- HTH
- HTT
- THH
- THT
- TTH
- TTT
Among these combinations, there is only one outcome that results in all tails, which is TTT.
Now, to find the probability of getting all three tails, we use the formula:
Probability = (Number of favorable outcomes) / (Total possible outcomes)
Here, the number of favorable outcomes is 1 (TTT), and the total possible outcomes is 8:
Probability = 1 / 8
Thus, the probability of flipping three fair coins and getting all tails is 1/8.