If a coin is tossed three times, what is the likelihood of obtaining three heads in a row?

The likelihood of obtaining three heads in a row when tossing a coin three times can be calculated using basic probability.

For a fair coin, there are two possible outcomes for each toss: heads (H) or tails (T). When tossing the coin three times, the total number of possible outcomes is:

2 x 2 x 2 = 2³ = 8

These outcomes can be listed as follows: HHH, HHT, HTH, HTT, THH, THT, TTH, TTT. Out of these eight outcomes, only one combination results in three heads in a row (HHH).

To find the likelihood, we can use the formula for probability:

Probability = (Number of favorable outcomes) / (Total number of possible outcomes)

In our case, the number of favorable outcomes (three heads) is 1 and the total number of possible outcomes is 8:

Probability = 1 / 8 = 0.125

This means that the likelihood of obtaining three heads in a row when tossing a fair coin three times is 0.125, which is equivalent to 12.5%.