Question

Two six-sided die are tossed. what is the probability that they both come up a one? 1/6 1/12 1/36

Answer 1

The chance of rolling both ones on two six-sided dice is 1/36 chance.

Answer 2

Answer: The correct option is (C)
`(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=\frac{\textup{number of favourable outcomes}}{\textup{total number of outcomes}}=(1)/(6).`

Similarly, the probability that the other die will also come up with a one is

`p_2=(1)/(6).`

Therefore, the probability that both the die will come up with a one will be

`P=p_1* p_2=(1)/(6)* (1)/(6)=(1)/(36).`

Thus, the required probability is
`(1)/(36).`

Option (C) is correct.