Answer: The correct option is (C) \(\dfrac{1}{36}.\)
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
\(p_1=\dfrac{\textup{number of favourable outcomes}}{\textup{total number of outcomes}}=\dfrac{1}{6}.\)
Similarly, the probability that the other die will also come up with a one is
\(p_2=\dfrac{1}{6}.\)
Therefore, the probability that both the die will come up with a one will be
\(P=p_1\times p_2=\dfrac{1}{6}\times \dfrac{1}{6}=\dfrac{1}{36}.\)
Thus, the required probability is \(\dfrac{1}{36}.\)
Option (C) is correct.
