KVPY SX SB Exam 05-Nov-2017 Question Paper

Consider the following events :
${\mathit{E}}_1:$ Six fair dice are rolled and at least one die shows six.
${\mathit{E}}_2:$ Twelve fair dice are rolled and at least two dice show six.
Let p${}_1$ be the probability of E${}_1$ and p${}_2$ be the probability of E${}_2$. Which of the following is true ?