As given by the question
There are given that the coin landing heads up every time while coins thrown 2 times.
Now,
If coin is thrown 2 times, then:
The total outcome is:
[tex]\lbrack HH\rbrack,\text{ \lbrack{}HT\rbrack, \lbrack{}TH\rbrack, \lbrack{}TT\rbrack}[/tex]So, the total outcome is 4
Then,
The probability that leading up head every time is:
[tex]\begin{gathered} P=\frac{\text{Total number of outcoe that up head every time}}{\text{Total number of outcome}} \\ P=\frac{1}{4} \end{gathered}[/tex]Hence, the answer is shown below:
[tex]P=\frac{1}{4}[/tex]