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What is the probability of rolling a die and getting a 3 or even number?

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A regular die has six sides with numbers 1 up to 6.

Thus, there are 3 even numbers in the die which are 2, 4 and 6.

And there is only one side of the die that has the number 3.

This means that we are looking for 4 possibilities in rolling a die.

Computing the probability, we get:


\text{ Probability = }\frac{No.\text{ of even numbers + No. of 3s}}{Total\text{ possible numbers}}
\text{ = }\frac{3\text{ + 1}}{6}
\text{ = }(4)/(6)\text{ = }(2)/(3)
\text{ Probability = }(2)/(3)

Therefore, the probability of getting a 3 or even number is 2/3.

Note:

For "or" scenario, the following equation must be applied:


\text{ Probability = }\frac{\text{ No. of outcomes for A}}{\text{Total number of outcomes}}\text{ + }\frac{\text{ No. of outcomes for B}}{\text{Total number of outcomes}}\text{ + }\ldots

For "and" scenario, the following equation must be applied:


\text{ Probability = }\frac{\text{ No. of outcomes for A}}{\text{Total number of outcomes}}\text{ x }\frac{\text{ No. of outcomes for B}}{\text{Total number of outcomes}}\text{ x }\ldots

User Bill Jetzer
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