Answer: The correct option is (C) [tex]\dfrac{1}{36}.[/tex]
Step-by-step explanation: Given that two six-sided die are tossed.
We are to find the probability that the two die come up with a one.
For one dice, there are six outcomes:
1, 2, 3, 4, 5, 6.
So, the probability that one of the die come up with a one is given by
[tex]p_1=\dfrac{\textup{number of favourable outcomes}}{\textup{total number of outcomes}}=\dfrac{1}{6}.[/tex]
Similarly, the probability that the other die will also come up with a one is
[tex]p_2=\dfrac{1}{6}.[/tex]
Therefore, the probability that both the die will come up with a one will be
[tex]P=p_1\times p_2=\dfrac{1}{6}\times \dfrac{1}{6}=\dfrac{1}{36}.[/tex]
Thus, the required probability is [tex]\dfrac{1}{36}.[/tex]
Option (C) is correct.
