Answer:
22.2%
Step-by-step explanation:
Probability is the chance of an event happening, it can be found by using the following formula,
Where the word (desired) represents the outcomes one wants, and (total) represents the total number of outcomes.
In this case, one is asked to find the probability of the sum of two numbers the results from rolling two dice, not being a multiple of (3) or (2). In this case, it is easier to list out the number of numbers between (1) and (12) that are not a multiple of three or two. Please note, the largest sum of number one can get when rolling two dice is (12), since the largest value on a dice is (6), and (6+6) equals (12).
Not multiples of (3) or (2):
1, 5, 7, 11
There are (4) numbers that are not multiples of (2) or (3). This means that there are (8) multiples of (2) or (3) between the numbers of (1) and (12), since (12 - 4 = 8)
The total number of outcomes is the following:
This is because there are (6) sides on a die, the number of outcomes is equal to (6) times (6), thus () or (
).
Now set up the probability equation:
Substituted,
Write as a decimal:
0.222
As a percent:
22.2%