When tossing two coins, each coin has two possible outcomes: heads (H) or tails (T). To find the probability of both coins landing on heads, we can start by determining the total number of possible outcomes when tossing two coins.
The possible outcomes for two coins are:
- Heads on the first coin and Heads on the second coin (HH)
- Heads on the first coin and Tails on the second coin (HT)
- Tails on the first coin and Heads on the second coin (TH)
- Tails on the first coin and Tails on the second coin (TT)
These outcomes can be summarized as: HH, HT, TH, TT. That gives us a total of 4 possible outcomes.
Out of these 4 outcomes, only 1 outcome results in both coins landing on heads (HH). Therefore, the probability of both coins landing on heads can be calculated using the formula:
Probability = (Number of favorable outcomes) / (Total number of outcomes)
Substituting the values gives us:
Probability = 1 / 4 = 0.25
Thus, the probability of tossing two coins and having them both land on heads is 0.25 or 25%.