Question

Express the answer in the simplest form if a die is rolled one time find the probabilityQuestion: E Getting a number greater than two or an even number P ( A number greater than two or an even number) =

Answer 1

Step 1:

In this question, we are given the followig:

Given that a dice is rolled once. We are to find the probability.

Now, the probability of greater than 2 is:

`(4)/(6)`

The probability of getting an even number is;

`(3)/(6)`

Then, the probability of getting a number greater than 2 and an even number is:

`(2)/(6)`
`\begin{gathered} Recall\text{ that:} \\ P\text{ \lparen A U B \rparen = P \lparen A\rparen + P \lparen B \rparen - P \lparen A n B \rparen} \\ P(\text{ A U B \rparen = }(4)/(6)\text{ + }(3)/(6)\text{ -}(2)/(6)\text{ =}(5)/(6) \end{gathered}`

CONCLUSION:

The probability of getting a numbe that is retaater than two or an even number is:

`(5)/(6)`