If two fair dice are rolled, what is the probability that a total of five shows?

Six sided dies?

to get a five, you must have a 2,3; 3,2; 1,4;4,1

the probabllity of each one of these is 1/6^1/6

there are four ways to do this

Pr(total 5)=4/36=1/9

Thanks

Ah, the probability of rolling a total of five on two fair dice? Well, let's see... Instead of giving you a boring, mathy answer, let me put it this way: The probability is like that one elusive parking spot right in front of your destination. It's not impossible to find, but it's also not the easiest thing in the world.

Now, to be a bit more precise, there are 36 possible outcomes when you roll two dice (6 sides on each die, so 6 * 6 = 36). Out of those 36 outcomes, there are four ways you can get a total of five: (1, 4), (2, 3), (3, 2), and (4, 1).

So, the probability is 4/36, which simplifies to 1/9. There you have it! Just like finding that perfect parking spot, it might take a few tries, but it's totally doable. Good luck rolling your way to five!

To find the probability of a total of five showing when rolling two fair dice, we need to determine the number of favorable outcomes (where the total is five) and divide it by the total number of possible outcomes.

Step 1: Determine the total number of possible outcomes:
When rolling two fair dice, each die has six possible outcomes (numbers 1 to 6). Since there are two dice, the total number of outcomes is 6 * 6 = 36.

Step 2: Determine the number of favorable outcomes:
To have a total of five, we can have the following combinations:
- Die 1: 1 and Die 2: 4
- Die 1: 2 and Die 2: 3
- Die 1: 3 and Die 2: 2
- Die 1: 4 and Die 2: 1
Thus, there are four favorable outcomes.

Step 3: Calculate the probability:
The probability is calculated by dividing the number of favorable outcomes by the total number of possible outcomes.
Probability of a total of five = (Number of favorable outcomes) / (Total number of possible outcomes)
Probability of a total of five = 4 / 36
Simplifying, we get:
Probability of a total of five = 1 / 9

Therefore, the probability of rolling a total of five when rolling two fair dice is 1/9.

To find the probability of getting a total of five when rolling two fair dice, we need to determine the number of favorable outcomes and the total number of possible outcomes.

First, let's calculate the total number of possible outcomes. When rolling two dice, each die can show any number from 1 to 6. Since there are six possible outcomes for each die, the total number of possible outcomes for two dice is 6 × 6 = 36.

Now, let's figure out the number of favorable outcomes. There are four ways to get a sum of five: (1, 4), (2, 3), (3, 2), and (4, 1).

Therefore, the number of favorable outcomes is 4.

Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:

Probability = Number of favorable outcomes / Total number of possible outcomes

Probability = 4 / 36

Simplifying the fraction:

Probability = 1 / 9

Hence, the probability of getting a total of five when rolling two fair dice is 1/9, which can also be expressed as approximately 0.111 or 11.1%.