To determine the probability of both coins landing on heads when two coins are tossed, we can start by identifying the total number of possible outcomes and the number of favorable outcomes.
When tossing two coins, each coin has 2 possible outcomes: heads (H) or tails (T). Therefore, the total number of outcomes when tossing two coins can be calculated using the formula:
Total Outcomes = Number of outcomes for Coin 1 × Number of outcomes for Coin 2 = 2 × 2 = 4
The possible outcomes for two coins are:
- HH (both coins are heads)
- HT (the first coin is heads, the second is tails)
- TH (the first coin is tails, the second is heads)
- TT (both coins are tails)
Out of these 4 outcomes, only 1 outcome results in both coins landing on heads (HH).
Now, we can calculate the probability (P) of both coins landing on heads using the formula:
P(Event) = Number of favorable outcomes / Total number of outcomes
Substituting in our values gives:
P(HH) = 1 / 4
Thus, the probability of both coins landing on heads when tossed is 1/4 or 25%.
This means that if you were to toss two coins multiple times, you would expect both to land on heads about 25% of the time.