Answer:
The required probability is [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Consider the provided information.
We need to find the probability that the first flip results in a head.
Therefore probability of lending head is [tex]P\sim U(1,0)[/tex]
The first flip is head can be calculated as:
[tex]\int\limits^1_0 {p} \, dp[/tex]
Integrate the above function as shown below:
[tex]\int\limits^1_0 {p} \, dp=[\frac{p^2}{2}]^1_0[/tex]
[tex]=\frac{1^2}{2}-\frac{0^2}{2}=\frac{1}{2}[/tex]
Hence, the required probability is [tex]\frac{1}{2}[/tex]
