We will have the following:
First, the probability of getting the first t-shirt white will be:
![p_1=(4)/(9)](https://img.qammunity.org/2023/formulas/mathematics/college/5zp4pdx9s2lpdd2kw14z9gmrdp34e7h38f.png)
And the probability of getting the second t-shirt white will be:
![p_2=(3)/(8)](https://img.qammunity.org/2023/formulas/mathematics/college/68bcv4emzz3nyn6l2bat4xuy6fgrdwfvo9.png)
Now, the probability of getting the two white t-shirts one after the other will be:
![\begin{gathered} p_3=p_1\ast p_2\Rightarrow p_3=(4)/(9)\ast(3)/(8) \\ \\ \Rightarrow p_3=(1)/(6) \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/1ja0h3v5x18gss9ujd76ei13kkjyfcpr7f.png)
So, the probability of getting the two white t-shirts one after the other is 1/6.