To find the probability of getting three tails when a coin is tossed three times, we need to look at the total possible outcomes and the favorable outcomes.
When a coin is tossed, there are two possible results: heads (H) or tails (T). Therefore, when tossing a coin three times, the total number of outcomes is:
Total Outcomes = 2³ = 8
The possible outcomes are: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. Out of these, only one outcome results in three tails (TTT).
Favorable Outcomes = 1
The probability is calculated by dividing the number of favorable outcomes by the total outcomes:
Probability = Favorable Outcomes / Total Outcomes = 1 / 8
Therefore, the probability of getting three tails when a coin is tossed three times is 1/8.