If you are rolling a size sided number cube, what is the probability of rolling an even number or a number less than 3?
To find the probability of rolling an even number or a number less than 3 on a size-sided number cube, we need to determine the total number of favorable outcomes (even numbers or numbers less than 3) and the total number of possible outcomes.
First, let's determine the total number of possible outcomes. Since we are rolling a size-sided number cube, the total number of possible outcomes is equal to the number of sides on the cube, which is "size".
Now, let's determine the total number of favorable outcomes.
1. Favorable outcomes for even numbers: An even number is divisible by 2. Since there are size options and half of them are even, we can calculate the number of favorable outcomes for even numbers as size/2.
2. Favorable outcomes for numbers less than 3: Numbers less than 3 include 1 and 2. Therefore, there are 2 favorable outcomes for numbers less than 3.
To find the probability, we need to add the number of favorable outcomes for even numbers and numbers less than 3 and divide it by the total number of possible outcomes:
Probability = (Number of favorable outcomes for even numbers + Number of favorable outcomes for numbers less than 3) / Total number of possible outcomes
Probability = (size/2 + 2) / size
So, the probability of rolling an even number or a number less than 3 on a size-sided number cube is (size/2 + 2) / size.
6 possible rolls
3 are even (2,4,6)
2 are less than 3 (1,2)
But one roll (2) is both
so there are 4 possible successful outcomes
P(success) = 4/6
1 *
2 **
3 *
4 *
5
6 * The only side that does not win is 5
Each side is equally probable
5/6 are winners :)
sorry, 3 is NOT a winner of course
4/6 = 2/3