Step 1: Find the proportion of 40 that is 26.
Let the proportion be x.
Then, we must have
![x=(26)/(40)=0.65](https://img.qammunity.org/2023/formulas/mathematics/college/qjjl3soy88xzwtbt7zas6sbb9hrx2ur1hz.png)
Step 2: Find the probability of getting at least 26 tails in 40 flips of the fair coin
From the simulation, the proportions that are at least 0.65 are 4 in number
![\begin{gathered} Pr(at\text{ least 0.65) }=\text{ Pr(0.65) + Pr(0.7)} \\ 1+3\text{ = 4} \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/yuha8i12g8g4rcopzdvhb4jj6jy5smuqvu.png)
The total number of tails is 100.
Therefore,
![(4)/(100)=4percent](https://img.qammunity.org/2023/formulas/mathematics/college/d8jwml2bsbr2ma0cw5vj03he0v52lgx5gt.png)
The correct answer is this:
There is only a 4% chance of getting at least 26 tails in 40 flips of a fair coin