A six sided die is rolled once what is the probability that the number rolled down is even number greater than two
Even numbers greater than 2 are the numbers 4, and 6 thus
= 2 chances out of 6
= 2/6
To find the probability of rolling an even number greater than two with a six-sided die, we need to determine the number of favorable outcomes (event of rolling an even number greater than two) and divide it by the number of possible outcomes.
Step 1: Determine the number of favorable outcomes
In this case, we are interested in rolling an even number greater than two. The even numbers greater than two on a six-sided die are 4 and 6. Hence, there are two favorable outcomes.
Step 2: Determine the number of possible outcomes
A six-sided die has a total of six possible outcomes, as there are six numbers (1, 2, 3, 4, 5, and 6) on the faces of the die.
Step 3: Calculate the probability
The probability can be calculated by dividing the number of favorable outcomes by the number of possible outcomes.
Probability = (Number of favorable outcomes) / (Number of possible outcomes)
= 2/6
= 1/3
Therefore, the probability of rolling an even number greater than two with a six-sided die is 1/3 or approximately 0.33.