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A red die and green die have been rolled. What is the probability the red die is greater than the green die?

Answer 1

#5/12#

There are #6xx6 = 36# possible outcomes, #6# of which have equal values for the red and green dice. That leaves #36-6 = 30# other possibilities, of which half (#15#) will have red higher than green and half (#15#) green higher than red.

So there are #15# out of #36# outcomes of equal probability in which the red die will be greater than the green die.

So the probabilitiy of red greater than green is #15/36 = 5/12#

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Answer 2

Ethan Adkins

To find the probability that the red die is greater than the green die, consider all possible outcomes when rolling both dice. There are 36 possible outcomes (6 outcomes for the red die multiplied by 6 outcomes for the green die). Among these outcomes, there are 15 outcomes where the red die is greater than the green die. Therefore, the probability is 15/36, which simplifies to 5/12.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.