To calculate the probability of rolling a 3 and a 5 with two six-sided dice, we need to first determine the total number of possible outcomes, and then the number of outcomes that satisfy the condition of rolling a 3 and a 5.

There are 36 possible outcomes when rolling two six-sided dice, because each die has six possible outcomes, and there are 6x6=36 possible combinations of outcomes when rolling two dice.

To determine the number of outcomes that satisfy the condition of rolling a 3 and a 5, we can use the following method:

There is only one way to roll a 3 and a 5, which is to roll a 1 on the first die and a 5 on the second die, or to roll a 2 on the first die and a 4 on the second die. So there are two possible ways to roll a 3 and a 5.

Therefore, the probability of rolling a 3 and a 5 with two six-sided dice is the number of outcomes that satisfy the condition (2) divided by the total number of possible outcomes (36):

Probability of rolling a 3 and a 5 = 2/36 = 1/18

So the probability of rolling a 3 and a 5 with two six-sided dice is 1/18 or approximately 0.056.
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