We have the following table for the results of the experiment:
No tails: 119
One tail: 264
Two tails: 117
If we assume that this table represents the actual frequency of the experiment, we can calculate the expected frequency for additional outcomes.
If what we want is to calculate the probability of "two heads" (event that is equivalent to "no tails"), we can directly use the frequencies of the table:
NOTE: for two fair coins (p=0.5) the expected frequency for "two heads" is 0.25, but in this case we use the frequency given in the table.
Answer: the probability of two heads is 0.238.