Determine whether the proposed solution to the following pro

Determine whether the proposed solution to the following problem is correct. If it is incorrect, find the error and fix the solution.

Problem: You flip two coins and want to find the probability that both coins show heads.

Solution: There are three possible outcomes: 2 heads, 2 tails, or 1 head and 1 tail. Since a “success” is one of these three outcomes, p(both heads) = 1/3.

Solution

Not correct
flipping of two coins
Total out comes ={ H H, T T, H T, T H} =4
Let the event E= Both coins shows shows head

Favourable cases= {H H}=1

Probability = favourable cases/ total number of cases
            = 1/4
favourable cases