To determine the theoretical probability of tossing two coins and getting two heads, we start by analyzing the situation.
When you toss a coin, there are two possible outcomes: heads (H) or tails (T). If you toss two coins, the possible combinations of outcomes are:
- HH (two heads)
- HT (head on the first coin, tail on the second)
- TH (tail on the first coin, head on the second)
- TT (two tails)
This gives us a total of 4 possible outcomes when tossing two coins.
Out of these four outcomes, only one of them—HH—represents the scenario where both coins show heads. Therefore, the probability of this event occurring is the number of favorable outcomes (1) divided by the total number of outcomes (4).
Thus, the theoretical probability is:
P(two heads) = Number of favorable outcomes / Total number of outcomes
P(two heads) = 1 / 4
Therefore, the theoretical probability that a coin toss results in two heads is 1/4 or 0.25, which can also be expressed as 25%.